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Finding the Fourth Proportional to 185.53, 278.24 and 62.11

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Solution

The fourth proportional to 185.53, 278.24 and 62.11 is: 93.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.53 : 278.24 = 62.11 : x
  2. Step 2: Convert to fraction form
    185.53/278.24 = 62.11/x
  3. Step 3: Cross multiply
    185.53x = 278.24 × 62.11
  4. Step 4: Simplify right side
    185.53x = 17,279.96
  5. Step 5: Solve for x
    x = 17,279.96/185.53
  6. Step 6: Final answer
    x = 93.14

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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.