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Finding the Fourth Proportional to 202.94, 303.99 and 94.61

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Solution

The fourth proportional to 202.94, 303.99 and 94.61 is: 141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 303.99 = 94.61 : x
  2. Step 2: Convert to fraction form
    202.94/303.99 = 94.61/x
  3. Step 3: Cross multiply
    202.94x = 303.99 × 94.61
  4. Step 4: Simplify right side
    202.94x = 28,758.97
  5. Step 5: Solve for x
    x = 28,758.97/202.94
  6. Step 6: Final answer
    x = 141.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.