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Finding the Fourth Proportional to 365.06, 547.36 and 133.90

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Solution

The fourth proportional to 365.06, 547.36 and 133.90 is: 200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 547.36 = 133.90 : x
  2. Step 2: Convert to fraction form
    365.06/547.36 = 133.90/x
  3. Step 3: Cross multiply
    365.06x = 547.36 × 133.90
  4. Step 4: Simplify right side
    365.06x = 73,292.88
  5. Step 5: Solve for x
    x = 73,292.88/365.06
  6. Step 6: Final answer
    x = 200.77

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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.