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Finding the Fourth Proportional to 742.20, 1,113.36 and 194.45

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Solution

The fourth proportional to 742.20, 1,113.36 and 194.45 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.20 : 1,113.36 = 194.45 : x
  2. Step 2: Convert to fraction form
    742.20/1,113.36 = 194.45/x
  3. Step 3: Cross multiply
    742.20x = 1,113.36 × 194.45
  4. Step 4: Simplify right side
    742.20x = 216,487.29
  5. Step 5: Solve for x
    x = 216,487.29/742.20
  6. Step 6: Final answer
    x = 291.68

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Double scale
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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.