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Finding the Fourth Proportional to 359.24, 538.58 and 142.80

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Solution

The fourth proportional to 359.24, 538.58 and 142.80 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.24 : 538.58 = 142.80 : x
  2. Step 2: Convert to fraction form
    359.24/538.58 = 142.80/x
  3. Step 3: Cross multiply
    359.24x = 538.58 × 142.80
  4. Step 4: Simplify right side
    359.24x = 76,909.22
  5. Step 5: Solve for x
    x = 76,909.22/359.24
  6. Step 6: Final answer
    x = 214.09

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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.