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Finding the Fourth Proportional to 297.72, 410.87 and 166.75

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Solution

The fourth proportional to 297.72, 410.87 and 166.75 is: 230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 410.87 = 166.75 : x
  2. Step 2: Convert to fraction form
    297.72/410.87 = 166.75/x
  3. Step 3: Cross multiply
    297.72x = 410.87 × 166.75
  4. Step 4: Simplify right side
    297.72x = 68,511.96
  5. Step 5: Solve for x
    x = 68,511.96/297.72
  6. Step 6: Final answer
    x = 230.12

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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.