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Finding the Fourth Proportional to 325.60, 488.30 and 106.22

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Solution

The fourth proportional to 325.60, 488.30 and 106.22 is: 159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.60 : 488.30 = 106.22 : x
  2. Step 2: Convert to fraction form
    325.60/488.30 = 106.22/x
  3. Step 3: Cross multiply
    325.60x = 488.30 × 106.22
  4. Step 4: Simplify right side
    325.60x = 51,867.23
  5. Step 5: Solve for x
    x = 51,867.23/325.60
  6. Step 6: Final answer
    x = 159.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.