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Finding the Fourth Proportional to 186.86, 278.88 and 166.05

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Solution

The fourth proportional to 186.86, 278.88 and 166.05 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 278.88 = 166.05 : x
  2. Step 2: Convert to fraction form
    186.86/278.88 = 166.05/x
  3. Step 3: Cross multiply
    186.86x = 278.88 × 166.05
  4. Step 4: Simplify right side
    186.86x = 46,308.02
  5. Step 5: Solve for x
    x = 46,308.02/186.86
  6. Step 6: Final answer
    x = 247.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.