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Finding the Fourth Proportional to 293.01, 439.41 and 110.31

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Solution

The fourth proportional to 293.01, 439.41 and 110.31 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.01 : 439.41 = 110.31 : x
  2. Step 2: Convert to fraction form
    293.01/439.41 = 110.31/x
  3. Step 3: Cross multiply
    293.01x = 439.41 × 110.31
  4. Step 4: Simplify right side
    293.01x = 48,468.57
  5. Step 5: Solve for x
    x = 48,468.57/293.01
  6. Step 6: Final answer
    x = 165.42

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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.