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Finding the Fourth Proportional to 150.11, 223.52 and 148.28

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Solution

The fourth proportional to 150.11, 223.52 and 148.28 is: 220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.11 : 223.52 = 148.28 : x
  2. Step 2: Convert to fraction form
    150.11/223.52 = 148.28/x
  3. Step 3: Cross multiply
    150.11x = 223.52 × 148.28
  4. Step 4: Simplify right side
    150.11x = 33,142.80
  5. Step 5: Solve for x
    x = 33,142.80/150.11
  6. Step 6: Final answer
    x = 220.80

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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.