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Finding the Fourth Proportional to 224.69, 310.03 and 172.29

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Solution

The fourth proportional to 224.69, 310.03 and 172.29 is: 237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.69 : 310.03 = 172.29 : x
  2. Step 2: Convert to fraction form
    224.69/310.03 = 172.29/x
  3. Step 3: Cross multiply
    224.69x = 310.03 × 172.29
  4. Step 4: Simplify right side
    224.69x = 53,415.80
  5. Step 5: Solve for x
    x = 53,415.80/224.69
  6. Step 6: Final answer
    x = 237.73

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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.