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Finding the Fourth Proportional to 269.62, 372.06 and 186.73

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Solution

The fourth proportional to 269.62, 372.06 and 186.73 is: 257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.62 : 372.06 = 186.73 : x
  2. Step 2: Convert to fraction form
    269.62/372.06 = 186.73/x
  3. Step 3: Cross multiply
    269.62x = 372.06 × 186.73
  4. Step 4: Simplify right side
    269.62x = 69,473.83
  5. Step 5: Solve for x
    x = 69,473.83/269.62
  6. Step 6: Final answer
    x = 257.68

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