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Finding the Fourth Proportional to 224.13, 335.75 and 172.12

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Solution

The fourth proportional to 224.13, 335.75 and 172.12 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.13 : 335.75 = 172.12 : x
  2. Step 2: Convert to fraction form
    224.13/335.75 = 172.12/x
  3. Step 3: Cross multiply
    224.13x = 335.75 × 172.12
  4. Step 4: Simplify right side
    224.13x = 57,789.29
  5. Step 5: Solve for x
    x = 57,789.29/224.13
  6. Step 6: Final answer
    x = 257.84

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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.