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Finding the Fourth Proportional to 224.16, 335.92 and 178.30

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Solution

The fourth proportional to 224.16, 335.92 and 178.30 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.16 : 335.92 = 178.30 : x
  2. Step 2: Convert to fraction form
    224.16/335.92 = 178.30/x
  3. Step 3: Cross multiply
    224.16x = 335.92 × 178.30
  4. Step 4: Simplify right side
    224.16x = 59,894.54
  5. Step 5: Solve for x
    x = 59,894.54/224.16
  6. Step 6: Final answer
    x = 267.20

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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.