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Finding the Fourth Proportional to 487.87, 731.78 and 179.70

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Solution

The fourth proportional to 487.87, 731.78 and 179.70 is: 269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.87 : 731.78 = 179.70 : x
  2. Step 2: Convert to fraction form
    487.87/731.78 = 179.70/x
  3. Step 3: Cross multiply
    487.87x = 731.78 × 179.70
  4. Step 4: Simplify right side
    487.87x = 131,501.32
  5. Step 5: Solve for x
    x = 131,501.32/487.87
  6. Step 6: Final answer
    x = 269.54

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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.