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Finding the Fourth Proportional to 293.45, 405.03 and 200.23

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Solution

The fourth proportional to 293.45, 405.03 and 200.23 is: 276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 405.03 = 200.23 : x
  2. Step 2: Convert to fraction form
    293.45/405.03 = 200.23/x
  3. Step 3: Cross multiply
    293.45x = 405.03 × 200.23
  4. Step 4: Simplify right side
    293.45x = 81,097.21
  5. Step 5: Solve for x
    x = 81,097.21/293.45
  6. Step 6: Final answer
    x = 276.36

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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.