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Finding the Fourth Proportional to 225.72, 337.23 and 177.66

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Solution

The fourth proportional to 225.72, 337.23 and 177.66 is: 265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.72 : 337.23 = 177.66 : x
  2. Step 2: Convert to fraction form
    225.72/337.23 = 177.66/x
  3. Step 3: Cross multiply
    225.72x = 337.23 × 177.66
  4. Step 4: Simplify right side
    225.72x = 59,912.28
  5. Step 5: Solve for x
    x = 59,912.28/225.72
  6. Step 6: Final answer
    x = 265.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.