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Finding the Fourth Proportional to 159.45, 219.14 and 143.25

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Solution

The fourth proportional to 159.45, 219.14 and 143.25 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.45 : 219.14 = 143.25 : x
  2. Step 2: Convert to fraction form
    159.45/219.14 = 143.25/x
  3. Step 3: Cross multiply
    159.45x = 219.14 × 143.25
  4. Step 4: Simplify right side
    159.45x = 31,391.09
  5. Step 5: Solve for x
    x = 31,391.09/159.45
  6. Step 6: Final answer
    x = 196.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.