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Finding the Fourth Proportional to 293.91, 440.87 and 111.39

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Solution

The fourth proportional to 293.91, 440.87 and 111.39 is: 167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.91 : 440.87 = 111.39 : x
  2. Step 2: Convert to fraction form
    293.91/440.87 = 111.39/x
  3. Step 3: Cross multiply
    293.91x = 440.87 × 111.39
  4. Step 4: Simplify right side
    293.91x = 49,106.30
  5. Step 5: Solve for x
    x = 49,106.30/293.91
  6. Step 6: Final answer
    x = 167.08

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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.