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Finding the Fourth Proportional to 293.13, 404.58 and 204.57

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Solution

The fourth proportional to 293.13, 404.58 and 204.57 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 404.58 = 204.57 : x
  2. Step 2: Convert to fraction form
    293.13/404.58 = 204.57/x
  3. Step 3: Cross multiply
    293.13x = 404.58 × 204.57
  4. Step 4: Simplify right side
    293.13x = 82,764.93
  5. Step 5: Solve for x
    x = 82,764.93/293.13
  6. Step 6: Final answer
    x = 282.35

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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.