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Finding the Fourth Proportional to 186.70, 279.46 and 125.05

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Solution

The fourth proportional to 186.70, 279.46 and 125.05 is: 187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.70 : 279.46 = 125.05 : x
  2. Step 2: Convert to fraction form
    186.70/279.46 = 125.05/x
  3. Step 3: Cross multiply
    186.70x = 279.46 × 125.05
  4. Step 4: Simplify right side
    186.70x = 34,946.47
  5. Step 5: Solve for x
    x = 34,946.47/186.70
  6. Step 6: Final answer
    x = 187.18

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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.