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Finding the Fourth Proportional to 358.73, 538.17 and 153.30

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Solution

The fourth proportional to 358.73, 538.17 and 153.30 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.73 : 538.17 = 153.30 : x
  2. Step 2: Convert to fraction form
    358.73/538.17 = 153.30/x
  3. Step 3: Cross multiply
    358.73x = 538.17 × 153.30
  4. Step 4: Simplify right side
    358.73x = 82,501.46
  5. Step 5: Solve for x
    x = 82,501.46/358.73
  6. Step 6: Final answer
    x = 229.99

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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.