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Finding the Fourth Proportional to 488.13, 731.94 and 179.97

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Solution

The fourth proportional to 488.13, 731.94 and 179.97 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.13 : 731.94 = 179.97 : x
  2. Step 2: Convert to fraction form
    488.13/731.94 = 179.97/x
  3. Step 3: Cross multiply
    488.13x = 731.94 × 179.97
  4. Step 4: Simplify right side
    488.13x = 131,727.24
  5. Step 5: Solve for x
    x = 131,727.24/488.13
  6. Step 6: Final answer
    x = 269.86

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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.