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Finding the Fourth Proportional to 150.45, 225.87 and 135.60

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Solution

The fourth proportional to 150.45, 225.87 and 135.60 is: 203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.45 : 225.87 = 135.60 : x
  2. Step 2: Convert to fraction form
    150.45/225.87 = 135.60/x
  3. Step 3: Cross multiply
    150.45x = 225.87 × 135.60
  4. Step 4: Simplify right side
    150.45x = 30,627.97
  5. Step 5: Solve for x
    x = 30,627.97/150.45
  6. Step 6: Final answer
    x = 203.58

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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.