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Finding the Fourth Proportional to 224.64, 335.61 and 146.97

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Solution

The fourth proportional to 224.64, 335.61 and 146.97 is: 219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.64 : 335.61 = 146.97 : x
  2. Step 2: Convert to fraction form
    224.64/335.61 = 146.97/x
  3. Step 3: Cross multiply
    224.64x = 335.61 × 146.97
  4. Step 4: Simplify right side
    224.64x = 49,324.60
  5. Step 5: Solve for x
    x = 49,324.60/224.64
  6. Step 6: Final answer
    x = 219.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.