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Finding the Fourth Proportional to 185.43, 277.89 and 69.76

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Solution

The fourth proportional to 185.43, 277.89 and 69.76 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.43 : 277.89 = 69.76 : x
  2. Step 2: Convert to fraction form
    185.43/277.89 = 69.76/x
  3. Step 3: Cross multiply
    185.43x = 277.89 × 69.76
  4. Step 4: Simplify right side
    185.43x = 19,384.91
  5. Step 5: Solve for x
    x = 19,384.91/185.43
  6. Step 6: Final answer
    x = 104.54

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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.