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Finding the Fourth Proportional to 225.97, 337.58 and 180.41

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Solution

The fourth proportional to 225.97, 337.58 and 180.41 is: 269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.97 : 337.58 = 180.41 : x
  2. Step 2: Convert to fraction form
    225.97/337.58 = 180.41/x
  3. Step 3: Cross multiply
    225.97x = 337.58 × 180.41
  4. Step 4: Simplify right side
    225.97x = 60,902.81
  5. Step 5: Solve for x
    x = 60,902.81/225.97
  6. Step 6: Final answer
    x = 269.52

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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.