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Finding the Fourth Proportional to 293.90, 440.37 and 171.86

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Solution

The fourth proportional to 293.90, 440.37 and 171.86 is: 257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.90 : 440.37 = 171.86 : x
  2. Step 2: Convert to fraction form
    293.90/440.37 = 171.86/x
  3. Step 3: Cross multiply
    293.90x = 440.37 × 171.86
  4. Step 4: Simplify right side
    293.90x = 75,679.79
  5. Step 5: Solve for x
    x = 75,679.79/293.90
  6. Step 6: Final answer
    x = 257.51

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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.