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Finding the Fourth Proportional to 293.90, 440.96 and 139.79

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Solution

The fourth proportional to 293.90, 440.96 and 139.79 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.90 : 440.96 = 139.79 : x
  2. Step 2: Convert to fraction form
    293.90/440.96 = 139.79/x
  3. Step 3: Cross multiply
    293.90x = 440.96 × 139.79
  4. Step 4: Simplify right side
    293.90x = 61,638.89
  5. Step 5: Solve for x
    x = 61,638.89/293.90
  6. Step 6: Final answer
    x = 209.73

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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.