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Finding the Fourth Proportional to 293.36, 440.86 and 171.72

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Solution

The fourth proportional to 293.36, 440.86 and 171.72 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.36 : 440.86 = 171.72 : x
  2. Step 2: Convert to fraction form
    293.36/440.86 = 171.72/x
  3. Step 3: Cross multiply
    293.36x = 440.86 × 171.72
  4. Step 4: Simplify right side
    293.36x = 75,704.48
  5. Step 5: Solve for x
    x = 75,704.48/293.36
  6. Step 6: Final answer
    x = 258.06

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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.