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Finding the Fourth Proportional to 488.02, 731.91 and 179.70

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Solution

The fourth proportional to 488.02, 731.91 and 179.70 is: 269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.02 : 731.91 = 179.70 : x
  2. Step 2: Convert to fraction form
    488.02/731.91 = 179.70/x
  3. Step 3: Cross multiply
    488.02x = 731.91 × 179.70
  4. Step 4: Simplify right side
    488.02x = 131,526.97
  5. Step 5: Solve for x
    x = 131,526.97/488.02
  6. Step 6: Final answer
    x = 269.51

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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.