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Finding the Fourth Proportional to 295.78, 408.23 and 213.16

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Solution

The fourth proportional to 295.78, 408.23 and 213.16 is: 294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.78 : 408.23 = 213.16 : x
  2. Step 2: Convert to fraction form
    295.78/408.23 = 213.16/x
  3. Step 3: Cross multiply
    295.78x = 408.23 × 213.16
  4. Step 4: Simplify right side
    295.78x = 87,015.20
  5. Step 5: Solve for x
    x = 87,015.20/295.78
  6. Step 6: Final answer
    x = 294.19

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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.