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Finding the Fourth Proportional to 269.64, 372.09 and 176.54

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Solution

The fourth proportional to 269.64, 372.09 and 176.54 is: 243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 372.09 = 176.54 : x
  2. Step 2: Convert to fraction form
    269.64/372.09 = 176.54/x
  3. Step 3: Cross multiply
    269.64x = 372.09 × 176.54
  4. Step 4: Simplify right side
    269.64x = 65,687.35
  5. Step 5: Solve for x
    x = 65,687.35/269.64
  6. Step 6: Final answer
    x = 243.62

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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.