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Finding the Fourth Proportional to 167.64, 249.84 and 160.86

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Solution

The fourth proportional to 167.64, 249.84 and 160.86 is: 239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.64 : 249.84 = 160.86 : x
  2. Step 2: Convert to fraction form
    167.64/249.84 = 160.86/x
  3. Step 3: Cross multiply
    167.64x = 249.84 × 160.86
  4. Step 4: Simplify right side
    167.64x = 40,189.26
  5. Step 5: Solve for x
    x = 40,189.26/167.64
  6. Step 6: Final answer
    x = 239.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.