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Finding the Fourth Proportional to 301.02, 415.26 and 213.78

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Solution

The fourth proportional to 301.02, 415.26 and 213.78 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 415.26 = 213.78 : x
  2. Step 2: Convert to fraction form
    301.02/415.26 = 213.78/x
  3. Step 3: Cross multiply
    301.02x = 415.26 × 213.78
  4. Step 4: Simplify right side
    301.02x = 88,774.28
  5. Step 5: Solve for x
    x = 88,774.28/301.02
  6. Step 6: Final answer
    x = 294.91

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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.