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Finding the Fourth Proportional to 195.50, 293.25 and 185.77

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Solution

The fourth proportional to 195.50, 293.25 and 185.77 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.50 : 293.25 = 185.77 : x
  2. Step 2: Convert to fraction form
    195.50/293.25 = 185.77/x
  3. Step 3: Cross multiply
    195.50x = 293.25 × 185.77
  4. Step 4: Simplify right side
    195.50x = 54,478.12
  5. Step 5: Solve for x
    x = 54,478.12/195.50
  6. Step 6: Final answer
    x = 278.66

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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.