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Finding the Fourth Proportional to 225.29, 337.89 and 103.54

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Solution

The fourth proportional to 225.29, 337.89 and 103.54 is: 155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.29 : 337.89 = 103.54 : x
  2. Step 2: Convert to fraction form
    225.29/337.89 = 103.54/x
  3. Step 3: Cross multiply
    225.29x = 337.89 × 103.54
  4. Step 4: Simplify right side
    225.29x = 34,983.44
  5. Step 5: Solve for x
    x = 34,983.44/225.29
  6. Step 6: Final answer
    x = 155.28

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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.