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Finding the Fourth Proportional to 269.28, 371.51 and 157.23

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Solution

The fourth proportional to 269.28, 371.51 and 157.23 is: 216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.28 : 371.51 = 157.23 : x
  2. Step 2: Convert to fraction form
    269.28/371.51 = 157.23/x
  3. Step 3: Cross multiply
    269.28x = 371.51 × 157.23
  4. Step 4: Simplify right side
    269.28x = 58,412.52
  5. Step 5: Solve for x
    x = 58,412.52/269.28
  6. Step 6: Final answer
    x = 216.92

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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.