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Finding the Fourth Proportional to 222.52, 331.67 and 206.08

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Solution

The fourth proportional to 222.52, 331.67 and 206.08 is: 307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.52 : 331.67 = 206.08 : x
  2. Step 2: Convert to fraction form
    222.52/331.67 = 206.08/x
  3. Step 3: Cross multiply
    222.52x = 331.67 × 206.08
  4. Step 4: Simplify right side
    222.52x = 68,350.55
  5. Step 5: Solve for x
    x = 68,350.55/222.52
  6. Step 6: Final answer
    x = 307.17

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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.