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Finding the Fourth Proportional to 358.62, 537.91 and 115.14

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Solution

The fourth proportional to 358.62, 537.91 and 115.14 is: 172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.62 : 537.91 = 115.14 : x
  2. Step 2: Convert to fraction form
    358.62/537.91 = 115.14/x
  3. Step 3: Cross multiply
    358.62x = 537.91 × 115.14
  4. Step 4: Simplify right side
    358.62x = 61,934.96
  5. Step 5: Solve for x
    x = 61,934.96/358.62
  6. Step 6: Final answer
    x = 172.70

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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.