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Finding the Fourth Proportional to 186.30, 278.91 and 167.94

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Solution

The fourth proportional to 186.30, 278.91 and 167.94 is: 251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 278.91 = 167.94 : x
  2. Step 2: Convert to fraction form
    186.30/278.91 = 167.94/x
  3. Step 3: Cross multiply
    186.30x = 278.91 × 167.94
  4. Step 4: Simplify right side
    186.30x = 46,840.15
  5. Step 5: Solve for x
    x = 46,840.15/186.30
  6. Step 6: Final answer
    x = 251.42

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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.