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Finding the Fourth Proportional to 150.53, 226.10 and 146.28

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Solution

The fourth proportional to 150.53, 226.10 and 146.28 is: 219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.53 : 226.10 = 146.28 : x
  2. Step 2: Convert to fraction form
    150.53/226.10 = 146.28/x
  3. Step 3: Cross multiply
    150.53x = 226.10 × 146.28
  4. Step 4: Simplify right side
    150.53x = 33,074.27
  5. Step 5: Solve for x
    x = 33,074.27/150.53
  6. Step 6: Final answer
    x = 219.72

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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.