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Finding the Fourth Proportional to 325.29, 487.97 and 119.81

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Solution

The fourth proportional to 325.29, 487.97 and 119.81 is: 179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.29 : 487.97 = 119.81 : x
  2. Step 2: Convert to fraction form
    325.29/487.97 = 119.81/x
  3. Step 3: Cross multiply
    325.29x = 487.97 × 119.81
  4. Step 4: Simplify right side
    325.29x = 58,461.55
  5. Step 5: Solve for x
    x = 58,461.55/325.29
  6. Step 6: Final answer
    x = 179.72

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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.