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Finding the Fourth Proportional to 206.99, 310.08 and 115.41

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Solution

The fourth proportional to 206.99, 310.08 and 115.41 is: 172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.99 : 310.08 = 115.41 : x
  2. Step 2: Convert to fraction form
    206.99/310.08 = 115.41/x
  3. Step 3: Cross multiply
    206.99x = 310.08 × 115.41
  4. Step 4: Simplify right side
    206.99x = 35,784.21
  5. Step 5: Solve for x
    x = 35,784.21/206.99
  6. Step 6: Final answer
    x = 172.88

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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.