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Finding the Fourth Proportional to 224.79, 310.26 and 137.49

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Solution

The fourth proportional to 224.79, 310.26 and 137.49 is: 189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.79 : 310.26 = 137.49 : x
  2. Step 2: Convert to fraction form
    224.79/310.26 = 137.49/x
  3. Step 3: Cross multiply
    224.79x = 310.26 × 137.49
  4. Step 4: Simplify right side
    224.79x = 42,657.65
  5. Step 5: Solve for x
    x = 42,657.65/224.79
  6. Step 6: Final answer
    x = 189.77

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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.