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Finding the Fourth Proportional to 263.17, 363.19 and 146.73

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Solution

The fourth proportional to 263.17, 363.19 and 146.73 is: 202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.17 : 363.19 = 146.73 : x
  2. Step 2: Convert to fraction form
    263.17/363.19 = 146.73/x
  3. Step 3: Cross multiply
    263.17x = 363.19 × 146.73
  4. Step 4: Simplify right side
    263.17x = 53,290.87
  5. Step 5: Solve for x
    x = 53,290.87/263.17
  6. Step 6: Final answer
    x = 202.50

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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.