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Finding the Fourth Proportional to 325.24, 487.58 and 142.49

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Solution

The fourth proportional to 325.24, 487.58 and 142.49 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.24 : 487.58 = 142.49 : x
  2. Step 2: Convert to fraction form
    325.24/487.58 = 142.49/x
  3. Step 3: Cross multiply
    325.24x = 487.58 × 142.49
  4. Step 4: Simplify right side
    325.24x = 69,476.85
  5. Step 5: Solve for x
    x = 69,476.85/325.24
  6. Step 6: Final answer
    x = 213.62

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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.