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Finding the Fourth Proportional to 359.28, 538.89 and 102.78

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Solution

The fourth proportional to 359.28, 538.89 and 102.78 is: 154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.28 : 538.89 = 102.78 : x
  2. Step 2: Convert to fraction form
    359.28/538.89 = 102.78/x
  3. Step 3: Cross multiply
    359.28x = 538.89 × 102.78
  4. Step 4: Simplify right side
    359.28x = 55,387.11
  5. Step 5: Solve for x
    x = 55,387.11/359.28
  6. Step 6: Final answer
    x = 154.16

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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.