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Finding the Fourth Proportional to 207.83, 312.19 and 199.94

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Solution

The fourth proportional to 207.83, 312.19 and 199.94 is: 300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.83 : 312.19 = 199.94 : x
  2. Step 2: Convert to fraction form
    207.83/312.19 = 199.94/x
  3. Step 3: Cross multiply
    207.83x = 312.19 × 199.94
  4. Step 4: Simplify right side
    207.83x = 62,417.21
  5. Step 5: Solve for x
    x = 62,417.21/207.83
  6. Step 6: Final answer
    x = 300.32

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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.