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Finding the Fourth Proportional to 185.37, 278.07 and 77.14

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Solution

The fourth proportional to 185.37, 278.07 and 77.14 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.37 : 278.07 = 77.14 : x
  2. Step 2: Convert to fraction form
    185.37/278.07 = 77.14/x
  3. Step 3: Cross multiply
    185.37x = 278.07 × 77.14
  4. Step 4: Simplify right side
    185.37x = 21,450.32
  5. Step 5: Solve for x
    x = 21,450.32/185.37
  6. Step 6: Final answer
    x = 115.72

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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.