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Finding the Fourth Proportional to 215.99, 323.75 and 106.37

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Solution

The fourth proportional to 215.99, 323.75 and 106.37 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.99 : 323.75 = 106.37 : x
  2. Step 2: Convert to fraction form
    215.99/323.75 = 106.37/x
  3. Step 3: Cross multiply
    215.99x = 323.75 × 106.37
  4. Step 4: Simplify right side
    215.99x = 34,437.16
  5. Step 5: Solve for x
    x = 34,437.16/215.99
  6. Step 6: Final answer
    x = 159.44

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Why These Related Problems?

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