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Finding the Fourth Proportional to 185.07, 277.38 and 76.80

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Solution

The fourth proportional to 185.07, 277.38 and 76.80 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.07 : 277.38 = 76.80 : x
  2. Step 2: Convert to fraction form
    185.07/277.38 = 76.80/x
  3. Step 3: Cross multiply
    185.07x = 277.38 × 76.80
  4. Step 4: Simplify right side
    185.07x = 21,302.78
  5. Step 5: Solve for x
    x = 21,302.78/185.07
  6. Step 6: Final answer
    x = 115.11

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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.