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Finding the Fourth Proportional to 365.00, 547.16 and 133.83

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Solution

The fourth proportional to 365.00, 547.16 and 133.83 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.00 : 547.16 = 133.83 : x
  2. Step 2: Convert to fraction form
    365.00/547.16 = 133.83/x
  3. Step 3: Cross multiply
    365.00x = 547.16 × 133.83
  4. Step 4: Simplify right side
    365.00x = 73,225.75
  5. Step 5: Solve for x
    x = 73,225.75/365.00
  6. Step 6: Final answer
    x = 200.62

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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.