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Finding the Fourth Proportional to 325.08, 487.64 and 142.48

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Solution

The fourth proportional to 325.08, 487.64 and 142.48 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.08 : 487.64 = 142.48 : x
  2. Step 2: Convert to fraction form
    325.08/487.64 = 142.48/x
  3. Step 3: Cross multiply
    325.08x = 487.64 × 142.48
  4. Step 4: Simplify right side
    325.08x = 69,478.95
  5. Step 5: Solve for x
    x = 69,478.95/325.08
  6. Step 6: Final answer
    x = 213.73

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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.