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Finding the Fourth Proportional to 186.42, 280.13 and 99.82

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Solution

The fourth proportional to 186.42, 280.13 and 99.82 is: 149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 280.13 = 99.82 : x
  2. Step 2: Convert to fraction form
    186.42/280.13 = 99.82/x
  3. Step 3: Cross multiply
    186.42x = 280.13 × 99.82
  4. Step 4: Simplify right side
    186.42x = 27,961.43
  5. Step 5: Solve for x
    x = 27,961.43/186.42
  6. Step 6: Final answer
    x = 149.99

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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.