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Finding the Fourth Proportional to 546.68, 820.06 and 222.12

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Solution

The fourth proportional to 546.68, 820.06 and 222.12 is: 333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.68 : 820.06 = 222.12 : x
  2. Step 2: Convert to fraction form
    546.68/820.06 = 222.12/x
  3. Step 3: Cross multiply
    546.68x = 820.06 × 222.12
  4. Step 4: Simplify right side
    546.68x = 182,151.73
  5. Step 5: Solve for x
    x = 182,151.73/546.68
  6. Step 6: Final answer
    x = 333.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.