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Finding the Fourth Proportional to 285.66, 428.09 and 177.12

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Solution

The fourth proportional to 285.66, 428.09 and 177.12 is: 265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 428.09 = 177.12 : x
  2. Step 2: Convert to fraction form
    285.66/428.09 = 177.12/x
  3. Step 3: Cross multiply
    285.66x = 428.09 × 177.12
  4. Step 4: Simplify right side
    285.66x = 75,822.42
  5. Step 5: Solve for x
    x = 75,822.42/285.66
  6. Step 6: Final answer
    x = 265.43

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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.