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Finding the Fourth Proportional to 359.39, 538.72 and 153.75

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Solution

The fourth proportional to 359.39, 538.72 and 153.75 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.39 : 538.72 = 153.75 : x
  2. Step 2: Convert to fraction form
    359.39/538.72 = 153.75/x
  3. Step 3: Cross multiply
    359.39x = 538.72 × 153.75
  4. Step 4: Simplify right side
    359.39x = 82,826.66
  5. Step 5: Solve for x
    x = 82,826.66/359.39
  6. Step 6: Final answer
    x = 230.47

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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.