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Finding the Fourth Proportional to 207.41, 310.83 and 199.52

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Solution

The fourth proportional to 207.41, 310.83 and 199.52 is: 299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.41 : 310.83 = 199.52 : x
  2. Step 2: Convert to fraction form
    207.41/310.83 = 199.52/x
  3. Step 3: Cross multiply
    207.41x = 310.83 × 199.52
  4. Step 4: Simplify right side
    207.41x = 62,016.80
  5. Step 5: Solve for x
    x = 62,016.80/207.41
  6. Step 6: Final answer
    x = 299.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.