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Finding the Fourth Proportional to 186.46, 279.76 and 83.68

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Solution

The fourth proportional to 186.46, 279.76 and 83.68 is: 125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 279.76 = 83.68 : x
  2. Step 2: Convert to fraction form
    186.46/279.76 = 83.68/x
  3. Step 3: Cross multiply
    186.46x = 279.76 × 83.68
  4. Step 4: Simplify right side
    186.46x = 23,410.32
  5. Step 5: Solve for x
    x = 23,410.32/186.46
  6. Step 6: Final answer
    x = 125.55

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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.