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Finding the Fourth Proportional to 243.24, 363.94 and 145.39

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Solution

The fourth proportional to 243.24, 363.94 and 145.39 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.24 : 363.94 = 145.39 : x
  2. Step 2: Convert to fraction form
    243.24/363.94 = 145.39/x
  3. Step 3: Cross multiply
    243.24x = 363.94 × 145.39
  4. Step 4: Simplify right side
    243.24x = 52,913.24
  5. Step 5: Solve for x
    x = 52,913.24/243.24
  6. Step 6: Final answer
    x = 217.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.