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Finding the Fourth Proportional to 269.42, 371.92 and 182.14

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Solution

The fourth proportional to 269.42, 371.92 and 182.14 is: 251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.42 : 371.92 = 182.14 : x
  2. Step 2: Convert to fraction form
    269.42/371.92 = 182.14/x
  3. Step 3: Cross multiply
    269.42x = 371.92 × 182.14
  4. Step 4: Simplify right side
    269.42x = 67,741.51
  5. Step 5: Solve for x
    x = 67,741.51/269.42
  6. Step 6: Final answer
    x = 251.43

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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.