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Finding the Fourth Proportional to 269.76, 372.12 and 164.82

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Solution

The fourth proportional to 269.76, 372.12 and 164.82 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.76 : 372.12 = 164.82 : x
  2. Step 2: Convert to fraction form
    269.76/372.12 = 164.82/x
  3. Step 3: Cross multiply
    269.76x = 372.12 × 164.82
  4. Step 4: Simplify right side
    269.76x = 61,332.82
  5. Step 5: Solve for x
    x = 61,332.82/269.76
  6. Step 6: Final answer
    x = 227.36

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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.