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Finding the Fourth Proportional to 185.14, 255.27 and 150.04

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Solution

The fourth proportional to 185.14, 255.27 and 150.04 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.14 : 255.27 = 150.04 : x
  2. Step 2: Convert to fraction form
    185.14/255.27 = 150.04/x
  3. Step 3: Cross multiply
    185.14x = 255.27 × 150.04
  4. Step 4: Simplify right side
    185.14x = 38,300.75
  5. Step 5: Solve for x
    x = 38,300.75/185.14
  6. Step 6: Final answer
    x = 206.87

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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.