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Finding the Fourth Proportional to 359.91, 540.09 and 154.58

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Solution

The fourth proportional to 359.91, 540.09 and 154.58 is: 231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.91 : 540.09 = 154.58 : x
  2. Step 2: Convert to fraction form
    359.91/540.09 = 154.58/x
  3. Step 3: Cross multiply
    359.91x = 540.09 × 154.58
  4. Step 4: Simplify right side
    359.91x = 83,484.41
  5. Step 5: Solve for x
    x = 83,484.41/359.91
  6. Step 6: Final answer
    x = 231.96

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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.