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Finding the Fourth Proportional to 293.13, 404.61 and 200.16

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Solution

The fourth proportional to 293.13, 404.61 and 200.16 is: 276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 404.61 = 200.16 : x
  2. Step 2: Convert to fraction form
    293.13/404.61 = 200.16/x
  3. Step 3: Cross multiply
    293.13x = 404.61 × 200.16
  4. Step 4: Simplify right side
    293.13x = 80,986.74
  5. Step 5: Solve for x
    x = 80,986.74/293.13
  6. Step 6: Final answer
    x = 276.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.