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Finding the Fourth Proportional to 225.10, 337.74 and 80.83

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Solution

The fourth proportional to 225.10, 337.74 and 80.83 is: 121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.10 : 337.74 = 80.83 : x
  2. Step 2: Convert to fraction form
    225.10/337.74 = 80.83/x
  3. Step 3: Cross multiply
    225.10x = 337.74 × 80.83
  4. Step 4: Simplify right side
    225.10x = 27,298.38
  5. Step 5: Solve for x
    x = 27,298.38/225.10
  6. Step 6: Final answer
    x = 121.27

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