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Finding the Fourth Proportional to 269.68, 372.14 and 164.94

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Solution

The fourth proportional to 269.68, 372.14 and 164.94 is: 227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.68 : 372.14 = 164.94 : x
  2. Step 2: Convert to fraction form
    269.68/372.14 = 164.94/x
  3. Step 3: Cross multiply
    269.68x = 372.14 × 164.94
  4. Step 4: Simplify right side
    269.68x = 61,380.77
  5. Step 5: Solve for x
    x = 61,380.77/269.68
  6. Step 6: Final answer
    x = 227.61

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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.