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Finding the Fourth Proportional to 150.61, 225.90 and 129.10

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Solution

The fourth proportional to 150.61, 225.90 and 129.10 is: 193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.61 : 225.90 = 129.10 : x
  2. Step 2: Convert to fraction form
    150.61/225.90 = 129.10/x
  3. Step 3: Cross multiply
    150.61x = 225.90 × 129.10
  4. Step 4: Simplify right side
    150.61x = 29,163.69
  5. Step 5: Solve for x
    x = 29,163.69/150.61
  6. Step 6: Final answer
    x = 193.64

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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.