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Finding the Fourth Proportional to 186.98, 279.92 and 129.06

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Solution

The fourth proportional to 186.98, 279.92 and 129.06 is: 193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.98 : 279.92 = 129.06 : x
  2. Step 2: Convert to fraction form
    186.98/279.92 = 129.06/x
  3. Step 3: Cross multiply
    186.98x = 279.92 × 129.06
  4. Step 4: Simplify right side
    186.98x = 36,126.80
  5. Step 5: Solve for x
    x = 36,126.80/186.98
  6. Step 6: Final answer
    x = 193.22

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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.