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Finding the Fourth Proportional to 150, 206.37 and 133.59

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Solution

The fourth proportional to 150, 206.37 and 133.59 is: 183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 206.37 = 133.59 : x
  2. Step 2: Convert to fraction form
    150/206.37 = 133.59/x
  3. Step 3: Cross multiply
    150x = 206.37 × 133.59
  4. Step 4: Simplify right side
    150x = 27,568.97
  5. Step 5: Solve for x
    x = 27,568.97/150
  6. Step 6: Final answer
    x = 183.79

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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.