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Finding the Fourth Proportional to 263.23, 363.50 and 219.04

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Solution

The fourth proportional to 263.23, 363.50 and 219.04 is: 302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.23 : 363.50 = 219.04 : x
  2. Step 2: Convert to fraction form
    263.23/363.50 = 219.04/x
  3. Step 3: Cross multiply
    263.23x = 363.50 × 219.04
  4. Step 4: Simplify right side
    263.23x = 79,621.04
  5. Step 5: Solve for x
    x = 79,621.04/263.23
  6. Step 6: Final answer
    x = 302.48

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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.