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Finding the Fourth Proportional to 364.97, 547.37 and 133.97

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Solution

The fourth proportional to 364.97, 547.37 and 133.97 is: 200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.97 : 547.37 = 133.97 : x
  2. Step 2: Convert to fraction form
    364.97/547.37 = 133.97/x
  3. Step 3: Cross multiply
    364.97x = 547.37 × 133.97
  4. Step 4: Simplify right side
    364.97x = 73,327.75
  5. Step 5: Solve for x
    x = 73,327.75/364.97
  6. Step 6: Final answer
    x = 200.92

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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.