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Finding the Fourth Proportional to 293.36, 440.64 and 190.82

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Solution

The fourth proportional to 293.36, 440.64 and 190.82 is: 286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.36 : 440.64 = 190.82 : x
  2. Step 2: Convert to fraction form
    293.36/440.64 = 190.82/x
  3. Step 3: Cross multiply
    293.36x = 440.64 × 190.82
  4. Step 4: Simplify right side
    293.36x = 84,082.92
  5. Step 5: Solve for x
    x = 84,082.92/293.36
  6. Step 6: Final answer
    x = 286.62

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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.