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Finding the Fourth Proportional to 201.69, 302.50 and 73.37

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Solution

The fourth proportional to 201.69, 302.50 and 73.37 is: 110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 302.50 = 73.37 : x
  2. Step 2: Convert to fraction form
    201.69/302.50 = 73.37/x
  3. Step 3: Cross multiply
    201.69x = 302.50 × 73.37
  4. Step 4: Simplify right side
    201.69x = 22,194.06
  5. Step 5: Solve for x
    x = 22,194.06/201.69
  6. Step 6: Final answer
    x = 110.04

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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.