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Finding the Fourth Proportional to 150.72, 226.14 and 120.40

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Solution

The fourth proportional to 150.72, 226.14 and 120.40 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.72 : 226.14 = 120.40 : x
  2. Step 2: Convert to fraction form
    150.72/226.14 = 120.40/x
  3. Step 3: Cross multiply
    150.72x = 226.14 × 120.40
  4. Step 4: Simplify right side
    150.72x = 27,227.26
  5. Step 5: Solve for x
    x = 27,227.26/150.72
  6. Step 6: Final answer
    x = 180.65

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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.