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Finding the Fourth Proportional to 174.54, 240.90 and 142.14

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Solution

The fourth proportional to 174.54, 240.90 and 142.14 is: 196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.54 : 240.90 = 142.14 : x
  2. Step 2: Convert to fraction form
    174.54/240.90 = 142.14/x
  3. Step 3: Cross multiply
    174.54x = 240.90 × 142.14
  4. Step 4: Simplify right side
    174.54x = 34,241.53
  5. Step 5: Solve for x
    x = 34,241.53/174.54
  6. Step 6: Final answer
    x = 196.18

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Why These Related Problems?

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