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Finding the Fourth Proportional to 175.44, 261.60 and 167.88

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Solution

The fourth proportional to 175.44, 261.60 and 167.88 is: 250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.44 : 261.60 = 167.88 : x
  2. Step 2: Convert to fraction form
    175.44/261.60 = 167.88/x
  3. Step 3: Cross multiply
    175.44x = 261.60 × 167.88
  4. Step 4: Simplify right side
    175.44x = 43,917.41
  5. Step 5: Solve for x
    x = 43,917.41/175.44
  6. Step 6: Final answer
    x = 250.33

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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.