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Finding the Fourth Proportional to 215.75, 323.74 and 100.25

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Solution

The fourth proportional to 215.75, 323.74 and 100.25 is: 150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.75 : 323.74 = 100.25 : x
  2. Step 2: Convert to fraction form
    215.75/323.74 = 100.25/x
  3. Step 3: Cross multiply
    215.75x = 323.74 × 100.25
  4. Step 4: Simplify right side
    215.75x = 32,453.46
  5. Step 5: Solve for x
    x = 32,453.46/215.75
  6. Step 6: Final answer
    x = 150.42

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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.