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Finding the Fourth Proportional to 610.15, 914.57 and 199.17

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Solution

The fourth proportional to 610.15, 914.57 and 199.17 is: 298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.15 : 914.57 = 199.17 : x
  2. Step 2: Convert to fraction form
    610.15/914.57 = 199.17/x
  3. Step 3: Cross multiply
    610.15x = 914.57 × 199.17
  4. Step 4: Simplify right side
    610.15x = 182,158.35
  5. Step 5: Solve for x
    x = 182,158.35/610.15
  6. Step 6: Final answer
    x = 298.55

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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.