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Finding the Fourth Proportional to 359.13, 538.48 and 150.65

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Solution

The fourth proportional to 359.13, 538.48 and 150.65 is: 225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.13 : 538.48 = 150.65 : x
  2. Step 2: Convert to fraction form
    359.13/538.48 = 150.65/x
  3. Step 3: Cross multiply
    359.13x = 538.48 × 150.65
  4. Step 4: Simplify right side
    359.13x = 81,122.01
  5. Step 5: Solve for x
    x = 81,122.01/359.13
  6. Step 6: Final answer
    x = 225.88

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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.