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Finding the Fourth Proportional to 269.97, 372.54 and 165.07

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Solution

The fourth proportional to 269.97, 372.54 and 165.07 is: 227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.97 : 372.54 = 165.07 : x
  2. Step 2: Convert to fraction form
    269.97/372.54 = 165.07/x
  3. Step 3: Cross multiply
    269.97x = 372.54 × 165.07
  4. Step 4: Simplify right side
    269.97x = 61,495.18
  5. Step 5: Solve for x
    x = 61,495.18/269.97
  6. Step 6: Final answer
    x = 227.79

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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.