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Finding the Fourth Proportional to 203.11, 304.74 and 105.82

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Solution

The fourth proportional to 203.11, 304.74 and 105.82 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.11 : 304.74 = 105.82 : x
  2. Step 2: Convert to fraction form
    203.11/304.74 = 105.82/x
  3. Step 3: Cross multiply
    203.11x = 304.74 × 105.82
  4. Step 4: Simplify right side
    203.11x = 32,247.59
  5. Step 5: Solve for x
    x = 32,247.59/203.11
  6. Step 6: Final answer
    x = 158.77

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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.