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Finding the Fourth Proportional to 263.24, 363.27 and 145.22

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Solution

The fourth proportional to 263.24, 363.27 and 145.22 is: 200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.24 : 363.27 = 145.22 : x
  2. Step 2: Convert to fraction form
    263.24/363.27 = 145.22/x
  3. Step 3: Cross multiply
    263.24x = 363.27 × 145.22
  4. Step 4: Simplify right side
    263.24x = 52,752.25
  5. Step 5: Solve for x
    x = 52,752.25/263.24
  6. Step 6: Final answer
    x = 200.40

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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.