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Finding the Fourth Proportional to 222.31, 306.82 and 139.46

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Solution

The fourth proportional to 222.31, 306.82 and 139.46 is: 192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.31 : 306.82 = 139.46 : x
  2. Step 2: Convert to fraction form
    222.31/306.82 = 139.46/x
  3. Step 3: Cross multiply
    222.31x = 306.82 × 139.46
  4. Step 4: Simplify right side
    222.31x = 42,787.76
  5. Step 5: Solve for x
    x = 42,787.76/222.31
  6. Step 6: Final answer
    x = 192.47

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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.