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Finding the Fourth Proportional to 215.38, 297.12 and 199.90

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Solution

The fourth proportional to 215.38, 297.12 and 199.90 is: 275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.38 : 297.12 = 199.90 : x
  2. Step 2: Convert to fraction form
    215.38/297.12 = 199.90/x
  3. Step 3: Cross multiply
    215.38x = 297.12 × 199.90
  4. Step 4: Simplify right side
    215.38x = 59,394.29
  5. Step 5: Solve for x
    x = 59,394.29/215.38
  6. Step 6: Final answer
    x = 275.77

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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.