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Finding the Fourth Proportional to 186.65, 279.96 and 83.87

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Solution

The fourth proportional to 186.65, 279.96 and 83.87 is: 125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.65 : 279.96 = 83.87 : x
  2. Step 2: Convert to fraction form
    186.65/279.96 = 83.87/x
  3. Step 3: Cross multiply
    186.65x = 279.96 × 83.87
  4. Step 4: Simplify right side
    186.65x = 23,480.25
  5. Step 5: Solve for x
    x = 23,480.25/186.65
  6. Step 6: Final answer
    x = 125.80

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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.