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Finding the Fourth Proportional to 487.17, 730.26 and 178.97

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Solution

The fourth proportional to 487.17, 730.26 and 178.97 is: 268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.17 : 730.26 = 178.97 : x
  2. Step 2: Convert to fraction form
    487.17/730.26 = 178.97/x
  3. Step 3: Cross multiply
    487.17x = 730.26 × 178.97
  4. Step 4: Simplify right side
    487.17x = 130,690.98
  5. Step 5: Solve for x
    x = 130,690.98/487.17
  6. Step 6: Final answer
    x = 268.27

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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.