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Finding the Fourth Proportional to 202.68, 303.84 and 138.60

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Solution

The fourth proportional to 202.68, 303.84 and 138.60 is: 207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.68 : 303.84 = 138.60 : x
  2. Step 2: Convert to fraction form
    202.68/303.84 = 138.60/x
  3. Step 3: Cross multiply
    202.68x = 303.84 × 138.60
  4. Step 4: Simplify right side
    202.68x = 42,112.22
  5. Step 5: Solve for x
    x = 42,112.22/202.68
  6. Step 6: Final answer
    x = 207.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.