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Finding the Fourth Proportional to 293.02, 404.53 and 203.42

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Solution

The fourth proportional to 293.02, 404.53 and 203.42 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.02 : 404.53 = 203.42 : x
  2. Step 2: Convert to fraction form
    293.02/404.53 = 203.42/x
  3. Step 3: Cross multiply
    293.02x = 404.53 × 203.42
  4. Step 4: Simplify right side
    293.02x = 82,289.49
  5. Step 5: Solve for x
    x = 82,289.49/293.02
  6. Step 6: Final answer
    x = 280.83

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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.