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Finding the Fourth Proportional to 174.50, 241.16 and 143.36

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Solution

The fourth proportional to 174.50, 241.16 and 143.36 is: 198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.50 : 241.16 = 143.36 : x
  2. Step 2: Convert to fraction form
    174.50/241.16 = 143.36/x
  3. Step 3: Cross multiply
    174.50x = 241.16 × 143.36
  4. Step 4: Simplify right side
    174.50x = 34,572.70
  5. Step 5: Solve for x
    x = 34,572.70/174.50
  6. Step 6: Final answer
    x = 198.12

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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.