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Finding the Fourth Proportional to 186.78, 280.08 and 84.06

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Solution

The fourth proportional to 186.78, 280.08 and 84.06 is: 126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 280.08 = 84.06 : x
  2. Step 2: Convert to fraction form
    186.78/280.08 = 84.06/x
  3. Step 3: Cross multiply
    186.78x = 280.08 × 84.06
  4. Step 4: Simplify right side
    186.78x = 23,543.52
  5. Step 5: Solve for x
    x = 23,543.52/186.78
  6. Step 6: Final answer
    x = 126.05

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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.