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Finding the Fourth Proportional to 224.28, 335.98 and 102.32

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Solution

The fourth proportional to 224.28, 335.98 and 102.32 is: 153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 335.98 = 102.32 : x
  2. Step 2: Convert to fraction form
    224.28/335.98 = 102.32/x
  3. Step 3: Cross multiply
    224.28x = 335.98 × 102.32
  4. Step 4: Simplify right side
    224.28x = 34,377.47
  5. Step 5: Solve for x
    x = 34,377.47/224.28
  6. Step 6: Final answer
    x = 153.28

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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.