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Finding the Fourth Proportional to 203.22, 304.88 and 111.87

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Solution

The fourth proportional to 203.22, 304.88 and 111.87 is: 167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.22 : 304.88 = 111.87 : x
  2. Step 2: Convert to fraction form
    203.22/304.88 = 111.87/x
  3. Step 3: Cross multiply
    203.22x = 304.88 × 111.87
  4. Step 4: Simplify right side
    203.22x = 34,106.37
  5. Step 5: Solve for x
    x = 34,106.37/203.22
  6. Step 6: Final answer
    x = 167.83

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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.