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Finding the Fourth Proportional to 215.83, 323.28 and 134.44

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Solution

The fourth proportional to 215.83, 323.28 and 134.44 is: 201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.83 : 323.28 = 134.44 : x
  2. Step 2: Convert to fraction form
    215.83/323.28 = 134.44/x
  3. Step 3: Cross multiply
    215.83x = 323.28 × 134.44
  4. Step 4: Simplify right side
    215.83x = 43,461.76
  5. Step 5: Solve for x
    x = 43,461.76/215.83
  6. Step 6: Final answer
    x = 201.37

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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.