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Finding the Fourth Proportional to 159.85, 238.61 and 138.32

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Solution

The fourth proportional to 159.85, 238.61 and 138.32 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.85 : 238.61 = 138.32 : x
  2. Step 2: Convert to fraction form
    159.85/238.61 = 138.32/x
  3. Step 3: Cross multiply
    159.85x = 238.61 × 138.32
  4. Step 4: Simplify right side
    159.85x = 33,004.54
  5. Step 5: Solve for x
    x = 33,004.54/159.85
  6. Step 6: Final answer
    x = 206.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.