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Finding the Fourth Proportional to 297.16, 410.08 and 166.17

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Solution

The fourth proportional to 297.16, 410.08 and 166.17 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 410.08 = 166.17 : x
  2. Step 2: Convert to fraction form
    297.16/410.08 = 166.17/x
  3. Step 3: Cross multiply
    297.16x = 410.08 × 166.17
  4. Step 4: Simplify right side
    297.16x = 68,140.11
  5. Step 5: Solve for x
    x = 68,140.11/297.16
  6. Step 6: Final answer
    x = 229.31

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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.