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Finding the Fourth Proportional to 207.42, 310.86 and 134.27

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Solution

The fourth proportional to 207.42, 310.86 and 134.27 is: 201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 310.86 = 134.27 : x
  2. Step 2: Convert to fraction form
    207.42/310.86 = 134.27/x
  3. Step 3: Cross multiply
    207.42x = 310.86 × 134.27
  4. Step 4: Simplify right side
    207.42x = 41,739.95
  5. Step 5: Solve for x
    x = 41,739.95/207.42
  6. Step 6: Final answer
    x = 201.23

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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.