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Finding the Fourth Proportional to 263.41, 363.49 and 146.97

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Solution

The fourth proportional to 263.41, 363.49 and 146.97 is: 202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.41 : 363.49 = 146.97 : x
  2. Step 2: Convert to fraction form
    263.41/363.49 = 146.97/x
  3. Step 3: Cross multiply
    263.41x = 363.49 × 146.97
  4. Step 4: Simplify right side
    263.41x = 53,421.76
  5. Step 5: Solve for x
    x = 53,421.76/263.41
  6. Step 6: Final answer
    x = 202.81

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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.