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Finding the Fourth Proportional to 202.62, 303.96 and 94.35

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Solution

The fourth proportional to 202.62, 303.96 and 94.35 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.62 : 303.96 = 94.35 : x
  2. Step 2: Convert to fraction form
    202.62/303.96 = 94.35/x
  3. Step 3: Cross multiply
    202.62x = 303.96 × 94.35
  4. Step 4: Simplify right side
    202.62x = 28,678.63
  5. Step 5: Solve for x
    x = 28,678.63/202.62
  6. Step 6: Final answer
    x = 141.54

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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.