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Finding the Fourth Proportional to 325.26, 488.01 and 162.90

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Solution

The fourth proportional to 325.26, 488.01 and 162.90 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.26 : 488.01 = 162.90 : x
  2. Step 2: Convert to fraction form
    325.26/488.01 = 162.90/x
  3. Step 3: Cross multiply
    325.26x = 488.01 × 162.90
  4. Step 4: Simplify right side
    325.26x = 79,496.83
  5. Step 5: Solve for x
    x = 79,496.83/325.26
  6. Step 6: Final answer
    x = 244.41

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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.