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Finding the Fourth Proportional to 263.38, 363.46 and 146.94

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Solution

The fourth proportional to 263.38, 363.46 and 146.94 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.38 : 363.46 = 146.94 : x
  2. Step 2: Convert to fraction form
    263.38/363.46 = 146.94/x
  3. Step 3: Cross multiply
    263.38x = 363.46 × 146.94
  4. Step 4: Simplify right side
    263.38x = 53,406.81
  5. Step 5: Solve for x
    x = 53,406.81/263.38
  6. Step 6: Final answer
    x = 202.78

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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.