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Finding the Fourth Proportional to 203.21, 304.37 and 106.82

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Solution

The fourth proportional to 203.21, 304.37 and 106.82 is: 159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.21 : 304.37 = 106.82 : x
  2. Step 2: Convert to fraction form
    203.21/304.37 = 106.82/x
  3. Step 3: Cross multiply
    203.21x = 304.37 × 106.82
  4. Step 4: Simplify right side
    203.21x = 32,510.75
  5. Step 5: Solve for x
    x = 32,510.75/203.21
  6. Step 6: Final answer
    x = 159.99

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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.