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Finding the Fourth Proportional to 203.27, 304.65 and 112.01

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Solution

The fourth proportional to 203.27, 304.65 and 112.01 is: 167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.27 : 304.65 = 112.01 : x
  2. Step 2: Convert to fraction form
    203.27/304.65 = 112.01/x
  3. Step 3: Cross multiply
    203.27x = 304.65 × 112.01
  4. Step 4: Simplify right side
    203.27x = 34,122.32
  5. Step 5: Solve for x
    x = 34,122.32/203.27
  6. Step 6: Final answer
    x = 167.87

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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.