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Finding the Fourth Proportional to 297.12, 409.98 and 166.10

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Solution

The fourth proportional to 297.12, 409.98 and 166.10 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.12 : 409.98 = 166.10 : x
  2. Step 2: Convert to fraction form
    297.12/409.98 = 166.10/x
  3. Step 3: Cross multiply
    297.12x = 409.98 × 166.10
  4. Step 4: Simplify right side
    297.12x = 68,097.68
  5. Step 5: Solve for x
    x = 68,097.68/297.12
  6. Step 6: Final answer
    x = 229.19

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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.