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Finding the Fourth Proportional to 150.96, 225.12 and 142.80

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Solution

The fourth proportional to 150.96, 225.12 and 142.80 is: 212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 225.12 = 142.80 : x
  2. Step 2: Convert to fraction form
    150.96/225.12 = 142.80/x
  3. Step 3: Cross multiply
    150.96x = 225.12 × 142.80
  4. Step 4: Simplify right side
    150.96x = 32,147.14
  5. Step 5: Solve for x
    x = 32,147.14/150.96
  6. Step 6: Final answer
    x = 212.95

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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.