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Finding the Fourth Proportional to 202.58, 303.65 and 115.73

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Solution

The fourth proportional to 202.58, 303.65 and 115.73 is: 173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 303.65 = 115.73 : x
  2. Step 2: Convert to fraction form
    202.58/303.65 = 115.73/x
  3. Step 3: Cross multiply
    202.58x = 303.65 × 115.73
  4. Step 4: Simplify right side
    202.58x = 35,139.97
  5. Step 5: Solve for x
    x = 35,139.97/202.58
  6. Step 6: Final answer
    x = 173.46

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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.