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Finding the Fourth Proportional to 263.23, 363.24 and 146.77

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Solution

The fourth proportional to 263.23, 363.24 and 146.77 is: 202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.23 : 363.24 = 146.77 : x
  2. Step 2: Convert to fraction form
    263.23/363.24 = 146.77/x
  3. Step 3: Cross multiply
    263.23x = 363.24 × 146.77
  4. Step 4: Simplify right side
    263.23x = 53,312.73
  5. Step 5: Solve for x
    x = 53,312.73/263.23
  6. Step 6: Final answer
    x = 202.53

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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.