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Finding the Fourth Proportional to 359.06, 538.13 and 153.38

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Solution

The fourth proportional to 359.06, 538.13 and 153.38 is: 229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.06 : 538.13 = 153.38 : x
  2. Step 2: Convert to fraction form
    359.06/538.13 = 153.38/x
  3. Step 3: Cross multiply
    359.06x = 538.13 × 153.38
  4. Step 4: Simplify right side
    359.06x = 82,538.38
  5. Step 5: Solve for x
    x = 82,538.38/359.06
  6. Step 6: Final answer
    x = 229.88

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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.