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Finding the Fourth Proportional to 293.85, 405.66 and 200.63

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Solution

The fourth proportional to 293.85, 405.66 and 200.63 is: 276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.85 : 405.66 = 200.63 : x
  2. Step 2: Convert to fraction form
    293.85/405.66 = 200.63/x
  3. Step 3: Cross multiply
    293.85x = 405.66 × 200.63
  4. Step 4: Simplify right side
    293.85x = 81,385.54
  5. Step 5: Solve for x
    x = 81,385.54/293.85
  6. Step 6: Final answer
    x = 276.96

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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.