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Finding the Fourth Proportional to 269.98, 372.72 and 166.54

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Solution

The fourth proportional to 269.98, 372.72 and 166.54 is: 229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.98 : 372.72 = 166.54 : x
  2. Step 2: Convert to fraction form
    269.98/372.72 = 166.54/x
  3. Step 3: Cross multiply
    269.98x = 372.72 × 166.54
  4. Step 4: Simplify right side
    269.98x = 62,072.79
  5. Step 5: Solve for x
    x = 62,072.79/269.98
  6. Step 6: Final answer
    x = 229.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.