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Finding the Fourth Proportional to 207.33, 312.83 and 205.71

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Solution

The fourth proportional to 207.33, 312.83 and 205.71 is: 310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.33 : 312.83 = 205.71 : x
  2. Step 2: Convert to fraction form
    207.33/312.83 = 205.71/x
  3. Step 3: Cross multiply
    207.33x = 312.83 × 205.71
  4. Step 4: Simplify right side
    207.33x = 64,352.26
  5. Step 5: Solve for x
    x = 64,352.26/207.33
  6. Step 6: Final answer
    x = 310.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.