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Finding the Fourth Proportional to 215.76, 323.49 and 134.35

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Solution

The fourth proportional to 215.76, 323.49 and 134.35 is: 201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 323.49 = 134.35 : x
  2. Step 2: Convert to fraction form
    215.76/323.49 = 134.35/x
  3. Step 3: Cross multiply
    215.76x = 323.49 × 134.35
  4. Step 4: Simplify right side
    215.76x = 43,460.88
  5. Step 5: Solve for x
    x = 43,460.88/215.76
  6. Step 6: Final answer
    x = 201.43

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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.