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Finding the Fourth Proportional to 269.54, 371.85 and 176.25

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Solution

The fourth proportional to 269.54, 371.85 and 176.25 is: 243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.54 : 371.85 = 176.25 : x
  2. Step 2: Convert to fraction form
    269.54/371.85 = 176.25/x
  3. Step 3: Cross multiply
    269.54x = 371.85 × 176.25
  4. Step 4: Simplify right side
    269.54x = 65,538.56
  5. Step 5: Solve for x
    x = 65,538.56/269.54
  6. Step 6: Final answer
    x = 243.15

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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.