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Finding the Fourth Proportional to 224.39, 309.67 and 137

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Solution

The fourth proportional to 224.39, 309.67 and 137 is: 189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.39 : 309.67 = 137 : x
  2. Step 2: Convert to fraction form
    224.39/309.67 = 137/x
  3. Step 3: Cross multiply
    224.39x = 309.67 × 137
  4. Step 4: Simplify right side
    224.39x = 42,424.79
  5. Step 5: Solve for x
    x = 42,424.79/224.39
  6. Step 6: Final answer
    x = 189.07

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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.