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Finding the Fourth Proportional to 297.10, 410 and 166.12

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Solution

The fourth proportional to 297.10, 410 and 166.12 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.10 : 410 = 166.12 : x
  2. Step 2: Convert to fraction form
    297.10/410 = 166.12/x
  3. Step 3: Cross multiply
    297.10x = 410 × 166.12
  4. Step 4: Simplify right side
    297.10x = 68,109.20
  5. Step 5: Solve for x
    x = 68,109.20/297.10
  6. Step 6: Final answer
    x = 229.25

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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.