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Finding the Fourth Proportional to 249.40, 344.22 and 166.53

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Solution

The fourth proportional to 249.40, 344.22 and 166.53 is: 229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.40 : 344.22 = 166.53 : x
  2. Step 2: Convert to fraction form
    249.40/344.22 = 166.53/x
  3. Step 3: Cross multiply
    249.40x = 344.22 × 166.53
  4. Step 4: Simplify right side
    249.40x = 57,322.12
  5. Step 5: Solve for x
    x = 57,322.12/249.40
  6. Step 6: Final answer
    x = 229.84

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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.