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Finding the Fourth Proportional to 297.76, 410.91 and 164.97

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Solution

The fourth proportional to 297.76, 410.91 and 164.97 is: 227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.76 : 410.91 = 164.97 : x
  2. Step 2: Convert to fraction form
    297.76/410.91 = 164.97/x
  3. Step 3: Cross multiply
    297.76x = 410.91 × 164.97
  4. Step 4: Simplify right side
    297.76x = 67,787.20
  5. Step 5: Solve for x
    x = 67,787.20/297.76
  6. Step 6: Final answer
    x = 227.66

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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.