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Finding the Fourth Proportional to 170.51, 255.84 and 167.78

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Solution

The fourth proportional to 170.51, 255.84 and 167.78 is: 251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.51 : 255.84 = 167.78 : x
  2. Step 2: Convert to fraction form
    170.51/255.84 = 167.78/x
  3. Step 3: Cross multiply
    170.51x = 255.84 × 167.78
  4. Step 4: Simplify right side
    170.51x = 42,922.72
  5. Step 5: Solve for x
    x = 42,922.72/170.51
  6. Step 6: Final answer
    x = 251.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.