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Finding the Fourth Proportional to 325.45, 488.20 and 105.99

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Solution

The fourth proportional to 325.45, 488.20 and 105.99 is: 158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.45 : 488.20 = 105.99 : x
  2. Step 2: Convert to fraction form
    325.45/488.20 = 105.99/x
  3. Step 3: Cross multiply
    325.45x = 488.20 × 105.99
  4. Step 4: Simplify right side
    325.45x = 51,741.35
  5. Step 5: Solve for x
    x = 51,741.35/325.45
  6. Step 6: Final answer
    x = 158.99

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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.