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Finding the Fourth Proportional to 224.13, 335.37 and 137.16

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Solution

The fourth proportional to 224.13, 335.37 and 137.16 is: 205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.13 : 335.37 = 137.16 : x
  2. Step 2: Convert to fraction form
    224.13/335.37 = 137.16/x
  3. Step 3: Cross multiply
    224.13x = 335.37 × 137.16
  4. Step 4: Simplify right side
    224.13x = 45,999.86
  5. Step 5: Solve for x
    x = 45,999.86/224.13
  6. Step 6: Final answer
    x = 205.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.