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Finding the Fourth Proportional to 224.82, 310.17 and 137.46

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Solution

The fourth proportional to 224.82, 310.17 and 137.46 is: 189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.82 : 310.17 = 137.46 : x
  2. Step 2: Convert to fraction form
    224.82/310.17 = 137.46/x
  3. Step 3: Cross multiply
    224.82x = 310.17 × 137.46
  4. Step 4: Simplify right side
    224.82x = 42,635.97
  5. Step 5: Solve for x
    x = 42,635.97/224.82
  6. Step 6: Final answer
    x = 189.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.