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Finding the Fourth Proportional to 293.97, 440.64 and 139.71

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Solution

The fourth proportional to 293.97, 440.64 and 139.71 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.97 : 440.64 = 139.71 : x
  2. Step 2: Convert to fraction form
    293.97/440.64 = 139.71/x
  3. Step 3: Cross multiply
    293.97x = 440.64 × 139.71
  4. Step 4: Simplify right side
    293.97x = 61,561.81
  5. Step 5: Solve for x
    x = 61,561.81/293.97
  6. Step 6: Final answer
    x = 209.42

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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.