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Finding the Fourth Proportional to 325.62, 488.35 and 106.19

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Solution

The fourth proportional to 325.62, 488.35 and 106.19 is: 159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.62 : 488.35 = 106.19 : x
  2. Step 2: Convert to fraction form
    325.62/488.35 = 106.19/x
  3. Step 3: Cross multiply
    325.62x = 488.35 × 106.19
  4. Step 4: Simplify right side
    325.62x = 51,855.83
  5. Step 5: Solve for x
    x = 51,855.83/325.62
  6. Step 6: Final answer
    x = 159.25

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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.