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Finding the Fourth Proportional to 186.62, 279.74 and 95.20

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Solution

The fourth proportional to 186.62, 279.74 and 95.20 is: 142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.62 : 279.74 = 95.20 : x
  2. Step 2: Convert to fraction form
    186.62/279.74 = 95.20/x
  3. Step 3: Cross multiply
    186.62x = 279.74 × 95.20
  4. Step 4: Simplify right side
    186.62x = 26,630.79
  5. Step 5: Solve for x
    x = 26,630.79/186.62
  6. Step 6: Final answer
    x = 142.70

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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.