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Finding the Fourth Proportional to 420.72, 631.15 and 177.23

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Solution

The fourth proportional to 420.72, 631.15 and 177.23 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.72 : 631.15 = 177.23 : x
  2. Step 2: Convert to fraction form
    420.72/631.15 = 177.23/x
  3. Step 3: Cross multiply
    420.72x = 631.15 × 177.23
  4. Step 4: Simplify right side
    420.72x = 111,855.12
  5. Step 5: Solve for x
    x = 111,855.12/420.72
  6. Step 6: Final answer
    x = 265.87

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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.