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Finding the Fourth Proportional to 203.14, 304.62 and 94.78

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Solution

The fourth proportional to 203.14, 304.62 and 94.78 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.14 : 304.62 = 94.78 : x
  2. Step 2: Convert to fraction form
    203.14/304.62 = 94.78/x
  3. Step 3: Cross multiply
    203.14x = 304.62 × 94.78
  4. Step 4: Simplify right side
    203.14x = 28,871.88
  5. Step 5: Solve for x
    x = 28,871.88/203.14
  6. Step 6: Final answer
    x = 142.13

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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.