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Finding the Fourth Proportional to 202.56, 303.98 and 94.37

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Solution

The fourth proportional to 202.56, 303.98 and 94.37 is: 141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.56 : 303.98 = 94.37 : x
  2. Step 2: Convert to fraction form
    202.56/303.98 = 94.37/x
  3. Step 3: Cross multiply
    202.56x = 303.98 × 94.37
  4. Step 4: Simplify right side
    202.56x = 28,684.60
  5. Step 5: Solve for x
    x = 28,684.60/202.56
  6. Step 6: Final answer
    x = 141.61

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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.