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Finding the Fourth Proportional to 215.21, 322.86 and 112.46

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Solution

The fourth proportional to 215.21, 322.86 and 112.46 is: 168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.21 : 322.86 = 112.46 : x
  2. Step 2: Convert to fraction form
    215.21/322.86 = 112.46/x
  3. Step 3: Cross multiply
    215.21x = 322.86 × 112.46
  4. Step 4: Simplify right side
    215.21x = 36,309.91
  5. Step 5: Solve for x
    x = 36,309.91/215.21
  6. Step 6: Final answer
    x = 168.72

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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.