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Finding the Fourth Proportional to 186.86, 279.99 and 114.59

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Solution

The fourth proportional to 186.86, 279.99 and 114.59 is: 171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 279.99 = 114.59 : x
  2. Step 2: Convert to fraction form
    186.86/279.99 = 114.59/x
  3. Step 3: Cross multiply
    186.86x = 279.99 × 114.59
  4. Step 4: Simplify right side
    186.86x = 32,082.65
  5. Step 5: Solve for x
    x = 32,082.65/186.86
  6. Step 6: Final answer
    x = 171.70

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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.