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Finding the Fourth Proportional to 159.62, 218.95 and 150.29

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Solution

The fourth proportional to 159.62, 218.95 and 150.29 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.62 : 218.95 = 150.29 : x
  2. Step 2: Convert to fraction form
    159.62/218.95 = 150.29/x
  3. Step 3: Cross multiply
    159.62x = 218.95 × 150.29
  4. Step 4: Simplify right side
    159.62x = 32,906.00
  5. Step 5: Solve for x
    x = 32,906.00/159.62
  6. Step 6: Final answer
    x = 206.15

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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.