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Finding the Fourth Proportional to 202.34, 303.45 and 72.44

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Solution

The fourth proportional to 202.34, 303.45 and 72.44 is: 108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 303.45 = 72.44 : x
  2. Step 2: Convert to fraction form
    202.34/303.45 = 72.44/x
  3. Step 3: Cross multiply
    202.34x = 303.45 × 72.44
  4. Step 4: Simplify right side
    202.34x = 21,982.97
  5. Step 5: Solve for x
    x = 21,982.97/202.34
  6. Step 6: Final answer
    x = 108.65

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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.