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Finding the Fourth Proportional to 186.76, 280.04 and 89.22

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Solution

The fourth proportional to 186.76, 280.04 and 89.22 is: 133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.76 : 280.04 = 89.22 : x
  2. Step 2: Convert to fraction form
    186.76/280.04 = 89.22/x
  3. Step 3: Cross multiply
    186.76x = 280.04 × 89.22
  4. Step 4: Simplify right side
    186.76x = 24,985.17
  5. Step 5: Solve for x
    x = 24,985.17/186.76
  6. Step 6: Final answer
    x = 133.78

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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.