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Finding the Fourth Proportional to 249.06, 343.46 and 166.17

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Solution

The fourth proportional to 249.06, 343.46 and 166.17 is: 229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.06 : 343.46 = 166.17 : x
  2. Step 2: Convert to fraction form
    249.06/343.46 = 166.17/x
  3. Step 3: Cross multiply
    249.06x = 343.46 × 166.17
  4. Step 4: Simplify right side
    249.06x = 57,071.92
  5. Step 5: Solve for x
    x = 57,071.92/249.06
  6. Step 6: Final answer
    x = 229.15

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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.