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Finding the Fourth Proportional to 167.58, 250.28 and 144.84

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Solution

The fourth proportional to 167.58, 250.28 and 144.84 is: 216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.58 : 250.28 = 144.84 : x
  2. Step 2: Convert to fraction form
    167.58/250.28 = 144.84/x
  3. Step 3: Cross multiply
    167.58x = 250.28 × 144.84
  4. Step 4: Simplify right side
    167.58x = 36,249.83
  5. Step 5: Solve for x
    x = 36,249.83/167.58
  6. Step 6: Final answer
    x = 216.31

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