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Finding the Fourth Proportional to 359.36, 539.10 and 142.88

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Solution

The fourth proportional to 359.36, 539.10 and 142.88 is: 214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.36 : 539.10 = 142.88 : x
  2. Step 2: Convert to fraction form
    359.36/539.10 = 142.88/x
  3. Step 3: Cross multiply
    359.36x = 539.10 × 142.88
  4. Step 4: Simplify right side
    359.36x = 77,026.61
  5. Step 5: Solve for x
    x = 77,026.61/359.36
  6. Step 6: Final answer
    x = 214.34

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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.