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Finding the Fourth Proportional to 202.26, 303.12 and 138

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Solution

The fourth proportional to 202.26, 303.12 and 138 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.26 : 303.12 = 138 : x
  2. Step 2: Convert to fraction form
    202.26/303.12 = 138/x
  3. Step 3: Cross multiply
    202.26x = 303.12 × 138
  4. Step 4: Simplify right side
    202.26x = 41,830.56
  5. Step 5: Solve for x
    x = 41,830.56/202.26
  6. Step 6: Final answer
    x = 206.82

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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.