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Finding the Fourth Proportional to 150.40, 225.41 and 77.22

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Solution

The fourth proportional to 150.40, 225.41 and 77.22 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 225.41 = 77.22 : x
  2. Step 2: Convert to fraction form
    150.40/225.41 = 77.22/x
  3. Step 3: Cross multiply
    150.40x = 225.41 × 77.22
  4. Step 4: Simplify right side
    150.40x = 17,404.84
  5. Step 5: Solve for x
    x = 17,404.84/150.40
  6. Step 6: Final answer
    x = 115.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.