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Finding the Fourth Proportional to 186.68, 279.58 and 109.45

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Solution

The fourth proportional to 186.68, 279.58 and 109.45 is: 163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.68 : 279.58 = 109.45 : x
  2. Step 2: Convert to fraction form
    186.68/279.58 = 109.45/x
  3. Step 3: Cross multiply
    186.68x = 279.58 × 109.45
  4. Step 4: Simplify right side
    186.68x = 30,600.03
  5. Step 5: Solve for x
    x = 30,600.03/186.68
  6. Step 6: Final answer
    x = 163.92

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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.