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Finding the Fourth Proportional to 297.53, 410.58 and 166.54

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Solution

The fourth proportional to 297.53, 410.58 and 166.54 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.53 : 410.58 = 166.54 : x
  2. Step 2: Convert to fraction form
    297.53/410.58 = 166.54/x
  3. Step 3: Cross multiply
    297.53x = 410.58 × 166.54
  4. Step 4: Simplify right side
    297.53x = 68,376.97
  5. Step 5: Solve for x
    x = 68,376.97/297.53
  6. Step 6: Final answer
    x = 229.82

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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.