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Finding the Fourth Proportional to 325.53, 488.15 and 109.07

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Solution

The fourth proportional to 325.53, 488.15 and 109.07 is: 163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.53 : 488.15 = 109.07 : x
  2. Step 2: Convert to fraction form
    325.53/488.15 = 109.07/x
  3. Step 3: Cross multiply
    325.53x = 488.15 × 109.07
  4. Step 4: Simplify right side
    325.53x = 53,239.53
  5. Step 5: Solve for x
    x = 53,239.53/325.53
  6. Step 6: Final answer
    x = 163.55

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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.