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Finding the Fourth Proportional to 224.92, 310.05 and 137.44

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Solution

The fourth proportional to 224.92, 310.05 and 137.44 is: 189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.92 : 310.05 = 137.44 : x
  2. Step 2: Convert to fraction form
    224.92/310.05 = 137.44/x
  3. Step 3: Cross multiply
    224.92x = 310.05 × 137.44
  4. Step 4: Simplify right side
    224.92x = 42,612.50
  5. Step 5: Solve for x
    x = 42,612.50/224.92
  6. Step 6: Final answer
    x = 189.46

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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.