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Finding the Fourth Proportional to 300.98, 415.18 and 213.50

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Solution

The fourth proportional to 300.98, 415.18 and 213.50 is: 294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.98 : 415.18 = 213.50 : x
  2. Step 2: Convert to fraction form
    300.98/415.18 = 213.50/x
  3. Step 3: Cross multiply
    300.98x = 415.18 × 213.50
  4. Step 4: Simplify right side
    300.98x = 88,640.93
  5. Step 5: Solve for x
    x = 88,640.93/300.98
  6. Step 6: Final answer
    x = 294.51

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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.