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Finding the Fourth Proportional to 186.13, 279.22 and 77.93

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Solution

The fourth proportional to 186.13, 279.22 and 77.93 is: 116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.13 : 279.22 = 77.93 : x
  2. Step 2: Convert to fraction form
    186.13/279.22 = 77.93/x
  3. Step 3: Cross multiply
    186.13x = 279.22 × 77.93
  4. Step 4: Simplify right side
    186.13x = 21,758.41
  5. Step 5: Solve for x
    x = 21,758.41/186.13
  6. Step 6: Final answer
    x = 116.90

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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.