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Finding the Fourth Proportional to 222.63, 307.44 and 167.55

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Solution

The fourth proportional to 222.63, 307.44 and 167.55 is: 231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.63 : 307.44 = 167.55 : x
  2. Step 2: Convert to fraction form
    222.63/307.44 = 167.55/x
  3. Step 3: Cross multiply
    222.63x = 307.44 × 167.55
  4. Step 4: Simplify right side
    222.63x = 51,511.57
  5. Step 5: Solve for x
    x = 51,511.57/222.63
  6. Step 6: Final answer
    x = 231.38

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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.