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Finding the Fourth Proportional to 206.91, 310.08 and 98.51

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Solution

The fourth proportional to 206.91, 310.08 and 98.51 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.91 : 310.08 = 98.51 : x
  2. Step 2: Convert to fraction form
    206.91/310.08 = 98.51/x
  3. Step 3: Cross multiply
    206.91x = 310.08 × 98.51
  4. Step 4: Simplify right side
    206.91x = 30,544.43
  5. Step 5: Solve for x
    x = 30,544.43/206.91
  6. Step 6: Final answer
    x = 147.62

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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.