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Finding the Fourth Proportional to 217.33, 325.60 and 178.74

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Solution

The fourth proportional to 217.33, 325.60 and 178.74 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.33 : 325.60 = 178.74 : x
  2. Step 2: Convert to fraction form
    217.33/325.60 = 178.74/x
  3. Step 3: Cross multiply
    217.33x = 325.60 × 178.74
  4. Step 4: Simplify right side
    217.33x = 58,197.30
  5. Step 5: Solve for x
    x = 58,197.30/217.33
  6. Step 6: Final answer
    x = 267.79

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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.