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Finding the Fourth Proportional to 293.49, 405.14 and 200.12

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Solution

The fourth proportional to 293.49, 405.14 and 200.12 is: 276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.49 : 405.14 = 200.12 : x
  2. Step 2: Convert to fraction form
    293.49/405.14 = 200.12/x
  3. Step 3: Cross multiply
    293.49x = 405.14 × 200.12
  4. Step 4: Simplify right side
    293.49x = 81,073.59
  5. Step 5: Solve for x
    x = 81,073.59/293.49
  6. Step 6: Final answer
    x = 276.24

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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.