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Finding the Fourth Proportional to 269.68, 371.76 and 166

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Solution

The fourth proportional to 269.68, 371.76 and 166 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.68 : 371.76 = 166 : x
  2. Step 2: Convert to fraction form
    269.68/371.76 = 166/x
  3. Step 3: Cross multiply
    269.68x = 371.76 × 166
  4. Step 4: Simplify right side
    269.68x = 61,712.16
  5. Step 5: Solve for x
    x = 61,712.16/269.68
  6. Step 6: Final answer
    x = 228.83

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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.