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Finding the Fourth Proportional to 185.82, 278.34 and 112.50

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Solution

The fourth proportional to 185.82, 278.34 and 112.50 is: 168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 278.34 = 112.50 : x
  2. Step 2: Convert to fraction form
    185.82/278.34 = 112.50/x
  3. Step 3: Cross multiply
    185.82x = 278.34 × 112.50
  4. Step 4: Simplify right side
    185.82x = 31,313.25
  5. Step 5: Solve for x
    x = 31,313.25/185.82
  6. Step 6: Final answer
    x = 168.51

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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.