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Finding the Fourth Proportional to 420.90, 631.52 and 177.42

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Solution

The fourth proportional to 420.90, 631.52 and 177.42 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.90 : 631.52 = 177.42 : x
  2. Step 2: Convert to fraction form
    420.90/631.52 = 177.42/x
  3. Step 3: Cross multiply
    420.90x = 631.52 × 177.42
  4. Step 4: Simplify right side
    420.90x = 112,044.28
  5. Step 5: Solve for x
    x = 112,044.28/420.90
  6. Step 6: Final answer
    x = 266.20

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