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Finding the Fourth Proportional to 207.37, 310.97 and 77.33

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Solution

The fourth proportional to 207.37, 310.97 and 77.33 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.37 : 310.97 = 77.33 : x
  2. Step 2: Convert to fraction form
    207.37/310.97 = 77.33/x
  3. Step 3: Cross multiply
    207.37x = 310.97 × 77.33
  4. Step 4: Simplify right side
    207.37x = 24,047.31
  5. Step 5: Solve for x
    x = 24,047.31/207.37
  6. Step 6: Final answer
    x = 115.96

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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.