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Finding the Fourth Proportional to 215.12, 297.34 and 213.24

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Solution

The fourth proportional to 215.12, 297.34 and 213.24 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.12 : 297.34 = 213.24 : x
  2. Step 2: Convert to fraction form
    215.12/297.34 = 213.24/x
  3. Step 3: Cross multiply
    215.12x = 297.34 × 213.24
  4. Step 4: Simplify right side
    215.12x = 63,404.78
  5. Step 5: Solve for x
    x = 63,404.78/215.12
  6. Step 6: Final answer
    x = 294.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.