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Finding the Fourth Proportional to 218.97, 328.86 and 178.47

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Solution

The fourth proportional to 218.97, 328.86 and 178.47 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.97 : 328.86 = 178.47 : x
  2. Step 2: Convert to fraction form
    218.97/328.86 = 178.47/x
  3. Step 3: Cross multiply
    218.97x = 328.86 × 178.47
  4. Step 4: Simplify right side
    218.97x = 58,691.64
  5. Step 5: Solve for x
    x = 58,691.64/218.97
  6. Step 6: Final answer
    x = 268.04

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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.