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Finding the Fourth Proportional to 222.82, 307.50 and 149.31

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Solution

The fourth proportional to 222.82, 307.50 and 149.31 is: 206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.82 : 307.50 = 149.31 : x
  2. Step 2: Convert to fraction form
    222.82/307.50 = 149.31/x
  3. Step 3: Cross multiply
    222.82x = 307.50 × 149.31
  4. Step 4: Simplify right side
    222.82x = 45,912.27
  5. Step 5: Solve for x
    x = 45,912.27/222.82
  6. Step 6: Final answer
    x = 206.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.