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Finding the Fourth Proportional to 263.11, 363.07 and 145.08

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Solution

The fourth proportional to 263.11, 363.07 and 145.08 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.11 : 363.07 = 145.08 : x
  2. Step 2: Convert to fraction form
    263.11/363.07 = 145.08/x
  3. Step 3: Cross multiply
    263.11x = 363.07 × 145.08
  4. Step 4: Simplify right side
    263.11x = 52,674.20
  5. Step 5: Solve for x
    x = 52,674.20/263.11
  6. Step 6: Final answer
    x = 200.20

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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.