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Finding the Fourth Proportional to 269.92, 372.32 and 164.96

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Solution

The fourth proportional to 269.92, 372.32 and 164.96 is: 227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.92 : 372.32 = 164.96 : x
  2. Step 2: Convert to fraction form
    269.92/372.32 = 164.96/x
  3. Step 3: Cross multiply
    269.92x = 372.32 × 164.96
  4. Step 4: Simplify right side
    269.92x = 61,417.91
  5. Step 5: Solve for x
    x = 61,417.91/269.92
  6. Step 6: Final answer
    x = 227.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.