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Finding the Fourth Proportional to 158.42, 217.17 and 150.59

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Solution

The fourth proportional to 158.42, 217.17 and 150.59 is: 206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.42 : 217.17 = 150.59 : x
  2. Step 2: Convert to fraction form
    158.42/217.17 = 150.59/x
  3. Step 3: Cross multiply
    158.42x = 217.17 × 150.59
  4. Step 4: Simplify right side
    158.42x = 32,703.63
  5. Step 5: Solve for x
    x = 32,703.63/158.42
  6. Step 6: Final answer
    x = 206.44

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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.