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Finding the Fourth Proportional to 167.58, 250.86 and 144.78

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Solution

The fourth proportional to 167.58, 250.86 and 144.78 is: 216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.58 : 250.86 = 144.78 : x
  2. Step 2: Convert to fraction form
    167.58/250.86 = 144.78/x
  3. Step 3: Cross multiply
    167.58x = 250.86 × 144.78
  4. Step 4: Simplify right side
    167.58x = 36,319.51
  5. Step 5: Solve for x
    x = 36,319.51/167.58
  6. Step 6: Final answer
    x = 216.73

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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.