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Finding the Fourth Proportional to 263.24, 363.27 and 146.79

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Solution

The fourth proportional to 263.24, 363.27 and 146.79 is: 202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.24 : 363.27 = 146.79 : x
  2. Step 2: Convert to fraction form
    263.24/363.27 = 146.79/x
  3. Step 3: Cross multiply
    263.24x = 363.27 × 146.79
  4. Step 4: Simplify right side
    263.24x = 53,324.40
  5. Step 5: Solve for x
    x = 53,324.40/263.24
  6. Step 6: Final answer
    x = 202.57

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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.