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Finding the Fourth Proportional to 359.59, 538.93 and 153.91

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Solution

The fourth proportional to 359.59, 538.93 and 153.91 is: 230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.59 : 538.93 = 153.91 : x
  2. Step 2: Convert to fraction form
    359.59/538.93 = 153.91/x
  3. Step 3: Cross multiply
    359.59x = 538.93 × 153.91
  4. Step 4: Simplify right side
    359.59x = 82,948.35
  5. Step 5: Solve for x
    x = 82,948.35/359.59
  6. Step 6: Final answer
    x = 230.68

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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.