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Finding the Fourth Proportional to 215.14, 322.26 and 106.78

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Solution

The fourth proportional to 215.14, 322.26 and 106.78 is: 159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.14 : 322.26 = 106.78 : x
  2. Step 2: Convert to fraction form
    215.14/322.26 = 106.78/x
  3. Step 3: Cross multiply
    215.14x = 322.26 × 106.78
  4. Step 4: Simplify right side
    215.14x = 34,410.92
  5. Step 5: Solve for x
    x = 34,410.92/215.14
  6. Step 6: Final answer
    x = 159.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.