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Finding the Fourth Proportional to 202.94, 280.13 and 146.97

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Solution

The fourth proportional to 202.94, 280.13 and 146.97 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 280.13 = 146.97 : x
  2. Step 2: Convert to fraction form
    202.94/280.13 = 146.97/x
  3. Step 3: Cross multiply
    202.94x = 280.13 × 146.97
  4. Step 4: Simplify right side
    202.94x = 41,169.97
  5. Step 5: Solve for x
    x = 41,169.97/202.94
  6. Step 6: Final answer
    x = 202.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.