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Finding the Fourth Proportional to 150.62, 226.22 and 120.51

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Solution

The fourth proportional to 150.62, 226.22 and 120.51 is: 181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.62 : 226.22 = 120.51 : x
  2. Step 2: Convert to fraction form
    150.62/226.22 = 120.51/x
  3. Step 3: Cross multiply
    150.62x = 226.22 × 120.51
  4. Step 4: Simplify right side
    150.62x = 27,261.17
  5. Step 5: Solve for x
    x = 27,261.17/150.62
  6. Step 6: Final answer
    x = 181.00

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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.