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Finding the Fourth Proportional to 263.42, 363.48 and 146.97

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Solution

The fourth proportional to 263.42, 363.48 and 146.97 is: 202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.42 : 363.48 = 146.97 : x
  2. Step 2: Convert to fraction form
    263.42/363.48 = 146.97/x
  3. Step 3: Cross multiply
    263.42x = 363.48 × 146.97
  4. Step 4: Simplify right side
    263.42x = 53,420.66
  5. Step 5: Solve for x
    x = 53,420.66/263.42
  6. Step 6: Final answer
    x = 202.80

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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.