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Finding the Fourth Proportional to 467.60, 701.14 and 178.92

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Solution

The fourth proportional to 467.60, 701.14 and 178.92 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 701.14 = 178.92 : x
  2. Step 2: Convert to fraction form
    467.60/701.14 = 178.92/x
  3. Step 3: Cross multiply
    467.60x = 701.14 × 178.92
  4. Step 4: Simplify right side
    467.60x = 125,447.97
  5. Step 5: Solve for x
    x = 125,447.97/467.60
  6. Step 6: Final answer
    x = 268.28

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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.