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Finding the Fourth Proportional to 226.13, 337.64 and 180.56

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Solution

The fourth proportional to 226.13, 337.64 and 180.56 is: 269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.13 : 337.64 = 180.56 : x
  2. Step 2: Convert to fraction form
    226.13/337.64 = 180.56/x
  3. Step 3: Cross multiply
    226.13x = 337.64 × 180.56
  4. Step 4: Simplify right side
    226.13x = 60,964.22
  5. Step 5: Solve for x
    x = 60,964.22/226.13
  6. Step 6: Final answer
    x = 269.60

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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.