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Finding the Fourth Proportional to 186.97, 280.43 and 89.53

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Solution

The fourth proportional to 186.97, 280.43 and 89.53 is: 134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.97 : 280.43 = 89.53 : x
  2. Step 2: Convert to fraction form
    186.97/280.43 = 89.53/x
  3. Step 3: Cross multiply
    186.97x = 280.43 × 89.53
  4. Step 4: Simplify right side
    186.97x = 25,106.42
  5. Step 5: Solve for x
    x = 25,106.42/186.97
  6. Step 6: Final answer
    x = 134.28

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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.