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Finding the Fourth Proportional to 420.47, 631.05 and 177.16

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Solution

The fourth proportional to 420.47, 631.05 and 177.16 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.47 : 631.05 = 177.16 : x
  2. Step 2: Convert to fraction form
    420.47/631.05 = 177.16/x
  3. Step 3: Cross multiply
    420.47x = 631.05 × 177.16
  4. Step 4: Simplify right side
    420.47x = 111,792.78
  5. Step 5: Solve for x
    x = 111,792.78/420.47
  6. Step 6: Final answer
    x = 265.88

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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.