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Finding the Fourth Proportional to 269.64, 372.05 and 164.75

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Solution

The fourth proportional to 269.64, 372.05 and 164.75 is: 227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 372.05 = 164.75 : x
  2. Step 2: Convert to fraction form
    269.64/372.05 = 164.75/x
  3. Step 3: Cross multiply
    269.64x = 372.05 × 164.75
  4. Step 4: Simplify right side
    269.64x = 61,293.90
  5. Step 5: Solve for x
    x = 61,293.90/269.64
  6. Step 6: Final answer
    x = 227.32

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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.