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Finding the Fourth Proportional to 269.52, 371.43 and 191.76

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Solution

The fourth proportional to 269.52, 371.43 and 191.76 is: 264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 371.43 = 191.76 : x
  2. Step 2: Convert to fraction form
    269.52/371.43 = 191.76/x
  3. Step 3: Cross multiply
    269.52x = 371.43 × 191.76
  4. Step 4: Simplify right side
    269.52x = 71,225.42
  5. Step 5: Solve for x
    x = 71,225.42/269.52
  6. Step 6: Final answer
    x = 264.27

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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.