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Finding the Fourth Proportional to 269.24, 371.16 and 186.22

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Solution

The fourth proportional to 269.24, 371.16 and 186.22 is: 256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.24 : 371.16 = 186.22 : x
  2. Step 2: Convert to fraction form
    269.24/371.16 = 186.22/x
  3. Step 3: Cross multiply
    269.24x = 371.16 × 186.22
  4. Step 4: Simplify right side
    269.24x = 69,117.42
  5. Step 5: Solve for x
    x = 69,117.42/269.24
  6. Step 6: Final answer
    x = 256.71

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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.