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Finding the Fourth Proportional to 146.28, 218.44 and 120.53

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Solution

The fourth proportional to 146.28, 218.44 and 120.53 is: 179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.28 : 218.44 = 120.53 : x
  2. Step 2: Convert to fraction form
    146.28/218.44 = 120.53/x
  3. Step 3: Cross multiply
    146.28x = 218.44 × 120.53
  4. Step 4: Simplify right side
    146.28x = 26,328.57
  5. Step 5: Solve for x
    x = 26,328.57/146.28
  6. Step 6: Final answer
    x = 179.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.