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Finding the Fourth Proportional to 363.24, 501.25 and 197.45

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Solution

The fourth proportional to 363.24, 501.25 and 197.45 is: 272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.24 : 501.25 = 197.45 : x
  2. Step 2: Convert to fraction form
    363.24/501.25 = 197.45/x
  3. Step 3: Cross multiply
    363.24x = 501.25 × 197.45
  4. Step 4: Simplify right side
    363.24x = 98,969.31
  5. Step 5: Solve for x
    x = 98,969.31/363.24
  6. Step 6: Final answer
    x = 272.47

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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.