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Finding the Fourth Proportional to 547.37, 821.15 and 222.76

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Solution

The fourth proportional to 547.37, 821.15 and 222.76 is: 334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.37 : 821.15 = 222.76 : x
  2. Step 2: Convert to fraction form
    547.37/821.15 = 222.76/x
  3. Step 3: Cross multiply
    547.37x = 821.15 × 222.76
  4. Step 4: Simplify right side
    547.37x = 182,919.37
  5. Step 5: Solve for x
    x = 182,919.37/547.37
  6. Step 6: Final answer
    x = 334.18

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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.