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Finding the Fourth Proportional to 263.39, 363.46 and 146.95

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Solution

The fourth proportional to 263.39, 363.46 and 146.95 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.39 : 363.46 = 146.95 : x
  2. Step 2: Convert to fraction form
    263.39/363.46 = 146.95/x
  3. Step 3: Cross multiply
    263.39x = 363.46 × 146.95
  4. Step 4: Simplify right side
    263.39x = 53,410.45
  5. Step 5: Solve for x
    x = 53,410.45/263.39
  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.