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Finding the Fourth Proportional to 185.38, 276.52 and 158.02

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Solution

The fourth proportional to 185.38, 276.52 and 158.02 is: 235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.38 : 276.52 = 158.02 : x
  2. Step 2: Convert to fraction form
    185.38/276.52 = 158.02/x
  3. Step 3: Cross multiply
    185.38x = 276.52 × 158.02
  4. Step 4: Simplify right side
    185.38x = 43,695.69
  5. Step 5: Solve for x
    x = 43,695.69/185.38
  6. Step 6: Final answer
    x = 235.71

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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.