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Finding the Fourth Proportional to 154.45, 230.09 and 150.22

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Solution

The fourth proportional to 154.45, 230.09 and 150.22 is: 223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.45 : 230.09 = 150.22 : x
  2. Step 2: Convert to fraction form
    154.45/230.09 = 150.22/x
  3. Step 3: Cross multiply
    154.45x = 230.09 × 150.22
  4. Step 4: Simplify right side
    154.45x = 34,564.12
  5. Step 5: Solve for x
    x = 34,564.12/154.45
  6. Step 6: Final answer
    x = 223.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.