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Finding the Fourth Proportional to 150.52, 225.78 and 120.46

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Solution

The fourth proportional to 150.52, 225.78 and 120.46 is: 180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.52 : 225.78 = 120.46 : x
  2. Step 2: Convert to fraction form
    150.52/225.78 = 120.46/x
  3. Step 3: Cross multiply
    150.52x = 225.78 × 120.46
  4. Step 4: Simplify right side
    150.52x = 27,197.46
  5. Step 5: Solve for x
    x = 27,197.46/150.52
  6. Step 6: Final answer
    x = 180.69

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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.