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Finding the Fourth Proportional to 365.84, 548.89 and 227.19

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Solution

The fourth proportional to 365.84, 548.89 and 227.19 is: 340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 548.89 = 227.19 : x
  2. Step 2: Convert to fraction form
    365.84/548.89 = 227.19/x
  3. Step 3: Cross multiply
    365.84x = 548.89 × 227.19
  4. Step 4: Simplify right side
    365.84x = 124,701.75
  5. Step 5: Solve for x
    x = 124,701.75/365.84
  6. Step 6: Final answer
    x = 340.87

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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.