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Finding the Fourth Proportional to 365.61, 547.75 and 200.90

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Solution

The fourth proportional to 365.61, 547.75 and 200.90 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.61 : 547.75 = 200.90 : x
  2. Step 2: Convert to fraction form
    365.61/547.75 = 200.90/x
  3. Step 3: Cross multiply
    365.61x = 547.75 × 200.90
  4. Step 4: Simplify right side
    365.61x = 110,042.98
  5. Step 5: Solve for x
    x = 110,042.98/365.61
  6. Step 6: Final answer
    x = 300.99

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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.