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Finding the Fourth Proportional to 293.63, 440.46 and 137.45

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Solution

The fourth proportional to 293.63, 440.46 and 137.45 is: 206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.63 : 440.46 = 137.45 : x
  2. Step 2: Convert to fraction form
    293.63/440.46 = 137.45/x
  3. Step 3: Cross multiply
    293.63x = 440.46 × 137.45
  4. Step 4: Simplify right side
    293.63x = 60,542.33
  5. Step 5: Solve for x
    x = 60,542.33/293.63
  6. Step 6: Final answer
    x = 206.19

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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.