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Finding the Fourth Proportional to 186.84, 280.43 and 143.37

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Solution

The fourth proportional to 186.84, 280.43 and 143.37 is: 215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 280.43 = 143.37 : x
  2. Step 2: Convert to fraction form
    186.84/280.43 = 143.37/x
  3. Step 3: Cross multiply
    186.84x = 280.43 × 143.37
  4. Step 4: Simplify right side
    186.84x = 40,205.35
  5. Step 5: Solve for x
    x = 40,205.35/186.84
  6. Step 6: Final answer
    x = 215.18

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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.