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Finding the Fourth Proportional to 170.25, 253.96 and 167.46

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Solution

The fourth proportional to 170.25, 253.96 and 167.46 is: 249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.25 : 253.96 = 167.46 : x
  2. Step 2: Convert to fraction form
    170.25/253.96 = 167.46/x
  3. Step 3: Cross multiply
    170.25x = 253.96 × 167.46
  4. Step 4: Simplify right side
    170.25x = 42,527.30
  5. Step 5: Solve for x
    x = 42,527.30/170.25
  6. Step 6: Final answer
    x = 249.79

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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.