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Finding the Fourth Proportional to 609.98, 914.97 and 199.10

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Solution

The fourth proportional to 609.98, 914.97 and 199.10 is: 298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.98 : 914.97 = 199.10 : x
  2. Step 2: Convert to fraction form
    609.98/914.97 = 199.10/x
  3. Step 3: Cross multiply
    609.98x = 914.97 × 199.10
  4. Step 4: Simplify right side
    609.98x = 182,170.53
  5. Step 5: Solve for x
    x = 182,170.53/609.98
  6. Step 6: Final answer
    x = 298.65

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.