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Finding the Fourth Proportional to 207.66, 311.68 and 98.11

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Solution

The fourth proportional to 207.66, 311.68 and 98.11 is: 147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 311.68 = 98.11 : x
  2. Step 2: Convert to fraction form
    207.66/311.68 = 98.11/x
  3. Step 3: Cross multiply
    207.66x = 311.68 × 98.11
  4. Step 4: Simplify right side
    207.66x = 30,579.44
  5. Step 5: Solve for x
    x = 30,579.44/207.66
  6. Step 6: Final answer
    x = 147.25

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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.