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Finding the Fourth Proportional to 325.53, 488.18 and 120.11

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Solution

The fourth proportional to 325.53, 488.18 and 120.11 is: 180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.53 : 488.18 = 120.11 : x
  2. Step 2: Convert to fraction form
    325.53/488.18 = 120.11/x
  3. Step 3: Cross multiply
    325.53x = 488.18 × 120.11
  4. Step 4: Simplify right side
    325.53x = 58,632.26
  5. Step 5: Solve for x
    x = 58,632.26/325.53
  6. Step 6: Final answer
    x = 180.11

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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.