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Finding the Fourth Proportional to 186.60, 279.93 and 78.48

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Solution

The fourth proportional to 186.60, 279.93 and 78.48 is: 117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.60 : 279.93 = 78.48 : x
  2. Step 2: Convert to fraction form
    186.60/279.93 = 78.48/x
  3. Step 3: Cross multiply
    186.60x = 279.93 × 78.48
  4. Step 4: Simplify right side
    186.60x = 21,968.91
  5. Step 5: Solve for x
    x = 21,968.91/186.60
  6. Step 6: Final answer
    x = 117.73

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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.