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Finding the Fourth Proportional to 547.66, 821.80 and 201.39

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Solution

The fourth proportional to 547.66, 821.80 and 201.39 is: 302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.66 : 821.80 = 201.39 : x
  2. Step 2: Convert to fraction form
    547.66/821.80 = 201.39/x
  3. Step 3: Cross multiply
    547.66x = 821.80 × 201.39
  4. Step 4: Simplify right side
    547.66x = 165,498.34
  5. Step 5: Solve for x
    x = 165,498.34/547.66
  6. Step 6: Final answer
    x = 302.19

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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.