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Finding the Fourth Proportional to 206.74, 308.48 and 186.22

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Solution

The fourth proportional to 206.74, 308.48 and 186.22 is: 277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.74 : 308.48 = 186.22 : x
  2. Step 2: Convert to fraction form
    206.74/308.48 = 186.22/x
  3. Step 3: Cross multiply
    206.74x = 308.48 × 186.22
  4. Step 4: Simplify right side
    206.74x = 57,445.15
  5. Step 5: Solve for x
    x = 57,445.15/206.74
  6. Step 6: Final answer
    x = 277.86

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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.