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Finding the Fourth Proportional to 269.32, 371.64 and 165.80

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Solution

The fourth proportional to 269.32, 371.64 and 165.80 is: 228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.32 : 371.64 = 165.80 : x
  2. Step 2: Convert to fraction form
    269.32/371.64 = 165.80/x
  3. Step 3: Cross multiply
    269.32x = 371.64 × 165.80
  4. Step 4: Simplify right side
    269.32x = 61,617.91
  5. Step 5: Solve for x
    x = 61,617.91/269.32
  6. Step 6: Final answer
    x = 228.79

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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.