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Finding the Fourth Proportional to 293.68, 440.20 and 111.07

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Solution

The fourth proportional to 293.68, 440.20 and 111.07 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.68 : 440.20 = 111.07 : x
  2. Step 2: Convert to fraction form
    293.68/440.20 = 111.07/x
  3. Step 3: Cross multiply
    293.68x = 440.20 × 111.07
  4. Step 4: Simplify right side
    293.68x = 48,893.01
  5. Step 5: Solve for x
    x = 48,893.01/293.68
  6. Step 6: Final answer
    x = 166.48

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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.