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Finding the Fourth Proportional to 174.76, 241.24 and 108.40

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Solution

The fourth proportional to 174.76, 241.24 and 108.40 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.76 : 241.24 = 108.40 : x
  2. Step 2: Convert to fraction form
    174.76/241.24 = 108.40/x
  3. Step 3: Cross multiply
    174.76x = 241.24 × 108.40
  4. Step 4: Simplify right side
    174.76x = 26,150.42
  5. Step 5: Solve for x
    x = 26,150.42/174.76
  6. Step 6: Final answer
    x = 149.64

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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.