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Finding the Fourth Proportional to 185.26, 277.75 and 87.83

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Solution

The fourth proportional to 185.26, 277.75 and 87.83 is: 131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.26 : 277.75 = 87.83 : x
  2. Step 2: Convert to fraction form
    185.26/277.75 = 87.83/x
  3. Step 3: Cross multiply
    185.26x = 277.75 × 87.83
  4. Step 4: Simplify right side
    185.26x = 24,394.78
  5. Step 5: Solve for x
    x = 24,394.78/185.26
  6. Step 6: Final answer
    x = 131.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.