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Finding the Fourth Proportional to 202.81, 303.90 and 100.03

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Solution

The fourth proportional to 202.81, 303.90 and 100.03 is: 149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.81 : 303.90 = 100.03 : x
  2. Step 2: Convert to fraction form
    202.81/303.90 = 100.03/x
  3. Step 3: Cross multiply
    202.81x = 303.90 × 100.03
  4. Step 4: Simplify right side
    202.81x = 30,399.12
  5. Step 5: Solve for x
    x = 30,399.12/202.81
  6. Step 6: Final answer
    x = 149.89

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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.