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Finding the Fourth Proportional to 215.22, 323.00 and 112.58

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Solution

The fourth proportional to 215.22, 323.00 and 112.58 is: 168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.22 : 323.00 = 112.58 : x
  2. Step 2: Convert to fraction form
    215.22/323.00 = 112.58/x
  3. Step 3: Cross multiply
    215.22x = 323.00 × 112.58
  4. Step 4: Simplify right side
    215.22x = 36,361.16
  5. Step 5: Solve for x
    x = 36,361.16/215.22
  6. Step 6: Final answer
    x = 168.95

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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.