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Finding the Fourth Proportional to 293.48, 440.37 and 131.27

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Solution

The fourth proportional to 293.48, 440.37 and 131.27 is: 196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.48 : 440.37 = 131.27 : x
  2. Step 2: Convert to fraction form
    293.48/440.37 = 131.27/x
  3. Step 3: Cross multiply
    293.48x = 440.37 × 131.27
  4. Step 4: Simplify right side
    293.48x = 57,807.37
  5. Step 5: Solve for x
    x = 57,807.37/293.48
  6. Step 6: Final answer
    x = 196.97

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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.