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Finding the Fourth Proportional to 269.58, 371.96 and 176.34

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Solution

The fourth proportional to 269.58, 371.96 and 176.34 is: 243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.58 : 371.96 = 176.34 : x
  2. Step 2: Convert to fraction form
    269.58/371.96 = 176.34/x
  3. Step 3: Cross multiply
    269.58x = 371.96 × 176.34
  4. Step 4: Simplify right side
    269.58x = 65,591.43
  5. Step 5: Solve for x
    x = 65,591.43/269.58
  6. Step 6: Final answer
    x = 243.31

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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.