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Finding the Fourth Proportional to 226.16, 337.71 and 180

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Solution

The fourth proportional to 226.16, 337.71 and 180 is: 268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 337.71 = 180 : x
  2. Step 2: Convert to fraction form
    226.16/337.71 = 180/x
  3. Step 3: Cross multiply
    226.16x = 337.71 × 180
  4. Step 4: Simplify right side
    226.16x = 60,787.80
  5. Step 5: Solve for x
    x = 60,787.80/226.16
  6. Step 6: Final answer
    x = 268.78

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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.