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Finding the Fourth Proportional to 186.39, 279.60 and 95.06

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Solution

The fourth proportional to 186.39, 279.60 and 95.06 is: 142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.39 : 279.60 = 95.06 : x
  2. Step 2: Convert to fraction form
    186.39/279.60 = 95.06/x
  3. Step 3: Cross multiply
    186.39x = 279.60 × 95.06
  4. Step 4: Simplify right side
    186.39x = 26,577.38
  5. Step 5: Solve for x
    x = 26,577.38/186.39
  6. Step 6: Final answer
    x = 142.59

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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.