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Finding the Fourth Proportional to 186.80, 280.22 and 78.66

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Solution

The fourth proportional to 186.80, 280.22 and 78.66 is: 118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 280.22 = 78.66 : x
  2. Step 2: Convert to fraction form
    186.80/280.22 = 78.66/x
  3. Step 3: Cross multiply
    186.80x = 280.22 × 78.66
  4. Step 4: Simplify right side
    186.80x = 22,041.71
  5. Step 5: Solve for x
    x = 22,041.71/186.80
  6. Step 6: Final answer
    x = 118.00

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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.