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Finding the Fourth Proportional to 547.47, 821.18 and 136.59

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Solution

The fourth proportional to 547.47, 821.18 and 136.59 is: 204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.47 : 821.18 = 136.59 : x
  2. Step 2: Convert to fraction form
    547.47/821.18 = 136.59/x
  3. Step 3: Cross multiply
    547.47x = 821.18 × 136.59
  4. Step 4: Simplify right side
    547.47x = 112,164.98
  5. Step 5: Solve for x
    x = 112,164.98/547.47
  6. Step 6: Final answer
    x = 204.88

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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.