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Finding the Fourth Proportional to 365.05, 547.42 and 133.86

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Solution

The fourth proportional to 365.05, 547.42 and 133.86 is: 200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.05 : 547.42 = 133.86 : x
  2. Step 2: Convert to fraction form
    365.05/547.42 = 133.86/x
  3. Step 3: Cross multiply
    365.05x = 547.42 × 133.86
  4. Step 4: Simplify right side
    365.05x = 73,277.64
  5. Step 5: Solve for x
    x = 73,277.64/365.05
  6. Step 6: Final answer
    x = 200.73

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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.