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Finding the Fourth Proportional to 226.20, 337.65 and 184.80

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Solution

The fourth proportional to 226.20, 337.65 and 184.80 is: 275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.20 : 337.65 = 184.80 : x
  2. Step 2: Convert to fraction form
    226.20/337.65 = 184.80/x
  3. Step 3: Cross multiply
    226.20x = 337.65 × 184.80
  4. Step 4: Simplify right side
    226.20x = 62,397.72
  5. Step 5: Solve for x
    x = 62,397.72/226.20
  6. Step 6: Final answer
    x = 275.85

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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.