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Finding the Fourth Proportional to 547.81, 821.64 and 201.10

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Solution

The fourth proportional to 547.81, 821.64 and 201.10 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.81 : 821.64 = 201.10 : x
  2. Step 2: Convert to fraction form
    547.81/821.64 = 201.10/x
  3. Step 3: Cross multiply
    547.81x = 821.64 × 201.10
  4. Step 4: Simplify right side
    547.81x = 165,232.04
  5. Step 5: Solve for x
    x = 165,232.04/547.81
  6. Step 6: Final answer
    x = 301.62

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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.