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Finding the Fourth Proportional to 186.34, 278.79 and 125.18

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Solution

The fourth proportional to 186.34, 278.79 and 125.18 is: 187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.34 : 278.79 = 125.18 : x
  2. Step 2: Convert to fraction form
    186.34/278.79 = 125.18/x
  3. Step 3: Cross multiply
    186.34x = 278.79 × 125.18
  4. Step 4: Simplify right side
    186.34x = 34,898.93
  5. Step 5: Solve for x
    x = 34,898.93/186.34
  6. Step 6: Final answer
    x = 187.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.