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Finding the Fourth Proportional to 174.75, 241.23 and 111.76

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Solution

The fourth proportional to 174.75, 241.23 and 111.76 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 241.23 = 111.76 : x
  2. Step 2: Convert to fraction form
    174.75/241.23 = 111.76/x
  3. Step 3: Cross multiply
    174.75x = 241.23 × 111.76
  4. Step 4: Simplify right side
    174.75x = 26,959.86
  5. Step 5: Solve for x
    x = 26,959.86/174.75
  6. Step 6: Final answer
    x = 154.28

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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.