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Finding the Fourth Proportional to 269.76, 372.16 and 186.72

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Solution

The fourth proportional to 269.76, 372.16 and 186.72 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.76 : 372.16 = 186.72 : x
  2. Step 2: Convert to fraction form
    269.76/372.16 = 186.72/x
  3. Step 3: Cross multiply
    269.76x = 372.16 × 186.72
  4. Step 4: Simplify right side
    269.76x = 69,489.72
  5. Step 5: Solve for x
    x = 69,489.72/269.76
  6. Step 6: Final answer
    x = 257.60

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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.