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Finding the Fourth Proportional to 225.96, 337.17 and 202.96

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Solution

The fourth proportional to 225.96, 337.17 and 202.96 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.96 : 337.17 = 202.96 : x
  2. Step 2: Convert to fraction form
    225.96/337.17 = 202.96/x
  3. Step 3: Cross multiply
    225.96x = 337.17 × 202.96
  4. Step 4: Simplify right side
    225.96x = 68,432.02
  5. Step 5: Solve for x
    x = 68,432.02/225.96
  6. Step 6: Final answer
    x = 302.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.