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Finding the Fourth Proportional to 185.95, 278.93 and 77.75

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Solution

The fourth proportional to 185.95, 278.93 and 77.75 is: 116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.95 : 278.93 = 77.75 : x
  2. Step 2: Convert to fraction form
    185.95/278.93 = 77.75/x
  3. Step 3: Cross multiply
    185.95x = 278.93 × 77.75
  4. Step 4: Simplify right side
    185.95x = 21,686.81
  5. Step 5: Solve for x
    x = 21,686.81/185.95
  6. Step 6: Final answer
    x = 116.63

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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.