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Finding the Fourth Proportional to 269.49, 372.05 and 185.57

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Solution

The fourth proportional to 269.49, 372.05 and 185.57 is: 256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.49 : 372.05 = 185.57 : x
  2. Step 2: Convert to fraction form
    269.49/372.05 = 185.57/x
  3. Step 3: Cross multiply
    269.49x = 372.05 × 185.57
  4. Step 4: Simplify right side
    269.49x = 69,038.53
  5. Step 5: Solve for x
    x = 69,038.53/269.49
  6. Step 6: Final answer
    x = 256.18

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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.