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Finding the Fourth Proportional to 359.34, 538.92 and 102.78

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Solution

The fourth proportional to 359.34, 538.92 and 102.78 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.34 : 538.92 = 102.78 : x
  2. Step 2: Convert to fraction form
    359.34/538.92 = 102.78/x
  3. Step 3: Cross multiply
    359.34x = 538.92 × 102.78
  4. Step 4: Simplify right side
    359.34x = 55,390.20
  5. Step 5: Solve for x
    x = 55,390.20/359.34
  6. Step 6: Final answer
    x = 154.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.