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Finding the Fourth Proportional to 488.23, 731.84 and 179.90

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Solution

The fourth proportional to 488.23, 731.84 and 179.90 is: 269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.23 : 731.84 = 179.90 : x
  2. Step 2: Convert to fraction form
    488.23/731.84 = 179.90/x
  3. Step 3: Cross multiply
    488.23x = 731.84 × 179.90
  4. Step 4: Simplify right side
    488.23x = 131,654.14
  5. Step 5: Solve for x
    x = 131,654.14/488.23
  6. Step 6: Final answer
    x = 269.66

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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.