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Finding the Fourth Proportional to 217.64, 325.56 and 178.68

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Solution

The fourth proportional to 217.64, 325.56 and 178.68 is: 267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.64 : 325.56 = 178.68 : x
  2. Step 2: Convert to fraction form
    217.64/325.56 = 178.68/x
  3. Step 3: Cross multiply
    217.64x = 325.56 × 178.68
  4. Step 4: Simplify right side
    217.64x = 58,171.95
  5. Step 5: Solve for x
    x = 58,171.95/217.64
  6. Step 6: Final answer
    x = 267.29

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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.