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Finding the Fourth Proportional to 420.84, 631.20 and 177.31

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Solution

The fourth proportional to 420.84, 631.20 and 177.31 is: 265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 631.20 = 177.31 : x
  2. Step 2: Convert to fraction form
    420.84/631.20 = 177.31/x
  3. Step 3: Cross multiply
    420.84x = 631.20 × 177.31
  4. Step 4: Simplify right side
    420.84x = 111,916.49
  5. Step 5: Solve for x
    x = 111,916.49/420.84
  6. Step 6: Final answer
    x = 265.94

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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.