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Finding the Fourth Proportional to 186.19, 279.10 and 77.90

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Solution

The fourth proportional to 186.19, 279.10 and 77.90 is: 116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.19 : 279.10 = 77.90 : x
  2. Step 2: Convert to fraction form
    186.19/279.10 = 77.90/x
  3. Step 3: Cross multiply
    186.19x = 279.10 × 77.90
  4. Step 4: Simplify right side
    186.19x = 21,741.89
  5. Step 5: Solve for x
    x = 21,741.89/186.19
  6. Step 6: Final answer
    x = 116.77

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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.