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Finding the Fourth Proportional to 285.08, 427.17 and 154.97

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Solution

The fourth proportional to 285.08, 427.17 and 154.97 is: 232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.08 : 427.17 = 154.97 : x
  2. Step 2: Convert to fraction form
    285.08/427.17 = 154.97/x
  3. Step 3: Cross multiply
    285.08x = 427.17 × 154.97
  4. Step 4: Simplify right side
    285.08x = 66,198.53
  5. Step 5: Solve for x
    x = 66,198.53/285.08
  6. Step 6: Final answer
    x = 232.21

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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.