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Finding the Fourth Proportional to 185.72, 255.72 and 141.50

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Solution

The fourth proportional to 185.72, 255.72 and 141.50 is: 194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.72 : 255.72 = 141.50 : x
  2. Step 2: Convert to fraction form
    185.72/255.72 = 141.50/x
  3. Step 3: Cross multiply
    185.72x = 255.72 × 141.50
  4. Step 4: Simplify right side
    185.72x = 36,184.38
  5. Step 5: Solve for x
    x = 36,184.38/185.72
  6. Step 6: Final answer
    x = 194.83

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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.