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Finding the Fourth Proportional to 159.32, 220.02 and 143.02

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Solution

The fourth proportional to 159.32, 220.02 and 143.02 is: 197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.32 : 220.02 = 143.02 : x
  2. Step 2: Convert to fraction form
    159.32/220.02 = 143.02/x
  3. Step 3: Cross multiply
    159.32x = 220.02 × 143.02
  4. Step 4: Simplify right side
    159.32x = 31,467.26
  5. Step 5: Solve for x
    x = 31,467.26/159.32
  6. Step 6: Final answer
    x = 197.51

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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.