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Finding the Fourth Proportional to 171.76, 236.80 and 144.24

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Solution

The fourth proportional to 171.76, 236.80 and 144.24 is: 198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.76 : 236.80 = 144.24 : x
  2. Step 2: Convert to fraction form
    171.76/236.80 = 144.24/x
  3. Step 3: Cross multiply
    171.76x = 236.80 × 144.24
  4. Step 4: Simplify right side
    171.76x = 34,156.03
  5. Step 5: Solve for x
    x = 34,156.03/171.76
  6. Step 6: Final answer
    x = 198.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.