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Finding the Fourth Proportional to 365.46, 547.92 and 189.33

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Solution

The fourth proportional to 365.46, 547.92 and 189.33 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.46 : 547.92 = 189.33 : x
  2. Step 2: Convert to fraction form
    365.46/547.92 = 189.33/x
  3. Step 3: Cross multiply
    365.46x = 547.92 × 189.33
  4. Step 4: Simplify right side
    365.46x = 103,737.69
  5. Step 5: Solve for x
    x = 103,737.69/365.46
  6. Step 6: Final answer
    x = 283.86

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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.