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Finding the Fourth Proportional to 293.12, 404.98 and 206.18

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Solution

The fourth proportional to 293.12, 404.98 and 206.18 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.12 : 404.98 = 206.18 : x
  2. Step 2: Convert to fraction form
    293.12/404.98 = 206.18/x
  3. Step 3: Cross multiply
    293.12x = 404.98 × 206.18
  4. Step 4: Simplify right side
    293.12x = 83,498.78
  5. Step 5: Solve for x
    x = 83,498.78/293.12
  6. Step 6: Final answer
    x = 284.86

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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.