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Finding the Fourth Proportional to 186.86, 279.95 and 78.45

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Solution

The fourth proportional to 186.86, 279.95 and 78.45 is: 117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 279.95 = 78.45 : x
  2. Step 2: Convert to fraction form
    186.86/279.95 = 78.45/x
  3. Step 3: Cross multiply
    186.86x = 279.95 × 78.45
  4. Step 4: Simplify right side
    186.86x = 21,961.69
  5. Step 5: Solve for x
    x = 21,961.69/186.86
  6. Step 6: Final answer
    x = 117.53

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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.