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Finding the Fourth Proportional to 325.81, 488.60 and 106.38

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Solution

The fourth proportional to 325.81, 488.60 and 106.38 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.81 : 488.60 = 106.38 : x
  2. Step 2: Convert to fraction form
    325.81/488.60 = 106.38/x
  3. Step 3: Cross multiply
    325.81x = 488.60 × 106.38
  4. Step 4: Simplify right side
    325.81x = 51,977.14
  5. Step 5: Solve for x
    x = 51,977.14/325.81
  6. Step 6: Final answer
    x = 159.53

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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.