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Finding the Fourth Proportional to 293.15, 439.76 and 137.09

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Solution

The fourth proportional to 293.15, 439.76 and 137.09 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.15 : 439.76 = 137.09 : x
  2. Step 2: Convert to fraction form
    293.15/439.76 = 137.09/x
  3. Step 3: Cross multiply
    293.15x = 439.76 × 137.09
  4. Step 4: Simplify right side
    293.15x = 60,288.14
  5. Step 5: Solve for x
    x = 60,288.14/293.15
  6. Step 6: Final answer
    x = 205.65

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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.