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Finding the Fourth Proportional to 201.52, 302.19 and 73.27

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Solution

The fourth proportional to 201.52, 302.19 and 73.27 is: 109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.52 : 302.19 = 73.27 : x
  2. Step 2: Convert to fraction form
    201.52/302.19 = 73.27/x
  3. Step 3: Cross multiply
    201.52x = 302.19 × 73.27
  4. Step 4: Simplify right side
    201.52x = 22,141.46
  5. Step 5: Solve for x
    x = 22,141.46/201.52
  6. Step 6: Final answer
    x = 109.87

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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.