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Finding the Fourth Proportional to 186.20, 278.79 and 117.55

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Solution

The fourth proportional to 186.20, 278.79 and 117.55 is: 176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.20 : 278.79 = 117.55 : x
  2. Step 2: Convert to fraction form
    186.20/278.79 = 117.55/x
  3. Step 3: Cross multiply
    186.20x = 278.79 × 117.55
  4. Step 4: Simplify right side
    186.20x = 32,772.33
  5. Step 5: Solve for x
    x = 32,772.33/186.20
  6. Step 6: Final answer
    x = 176.01

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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.