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Finding the Fourth Proportional to 215.83, 297.97 and 142.27

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Solution

The fourth proportional to 215.83, 297.97 and 142.27 is: 196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.83 : 297.97 = 142.27 : x
  2. Step 2: Convert to fraction form
    215.83/297.97 = 142.27/x
  3. Step 3: Cross multiply
    215.83x = 297.97 × 142.27
  4. Step 4: Simplify right side
    215.83x = 42,389.99
  5. Step 5: Solve for x
    x = 42,389.99/215.83
  6. Step 6: Final answer
    x = 196.40

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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.