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Finding the Fourth Proportional to 174.62, 241.18 and 135.54

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Solution

The fourth proportional to 174.62, 241.18 and 135.54 is: 187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.62 : 241.18 = 135.54 : x
  2. Step 2: Convert to fraction form
    174.62/241.18 = 135.54/x
  3. Step 3: Cross multiply
    174.62x = 241.18 × 135.54
  4. Step 4: Simplify right side
    174.62x = 32,689.20
  5. Step 5: Solve for x
    x = 32,689.20/174.62
  6. Step 6: Final answer
    x = 187.20

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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.