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Finding the Fourth Proportional to 206.61, 284.97 and 194.01

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Solution

The fourth proportional to 206.61, 284.97 and 194.01 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.61 : 284.97 = 194.01 : x
  2. Step 2: Convert to fraction form
    206.61/284.97 = 194.01/x
  3. Step 3: Cross multiply
    206.61x = 284.97 × 194.01
  4. Step 4: Simplify right side
    206.61x = 55,286.06
  5. Step 5: Solve for x
    x = 55,286.06/206.61
  6. Step 6: Final answer
    x = 267.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.