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Finding the Fourth Proportional to 269.57, 370.21 and 225.83

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Solution

The fourth proportional to 269.57, 370.21 and 225.83 is: 310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.57 : 370.21 = 225.83 : x
  2. Step 2: Convert to fraction form
    269.57/370.21 = 225.83/x
  3. Step 3: Cross multiply
    269.57x = 370.21 × 225.83
  4. Step 4: Simplify right side
    269.57x = 83,604.52
  5. Step 5: Solve for x
    x = 83,604.52/269.57
  6. Step 6: Final answer
    x = 310.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.