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Finding the Fourth Proportional to 224.53, 309.84 and 137.23

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Solution

The fourth proportional to 224.53, 309.84 and 137.23 is: 189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.53 : 309.84 = 137.23 : x
  2. Step 2: Convert to fraction form
    224.53/309.84 = 137.23/x
  3. Step 3: Cross multiply
    224.53x = 309.84 × 137.23
  4. Step 4: Simplify right side
    224.53x = 42,517.79
  5. Step 5: Solve for x
    x = 42,517.79/224.53
  6. Step 6: Final answer
    x = 189.37

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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.