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Finding the Fourth Proportional to 365.49, 546.87 and 218.70

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Solution

The fourth proportional to 365.49, 546.87 and 218.70 is: 327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.49 : 546.87 = 218.70 : x
  2. Step 2: Convert to fraction form
    365.49/546.87 = 218.70/x
  3. Step 3: Cross multiply
    365.49x = 546.87 × 218.70
  4. Step 4: Simplify right side
    365.49x = 119,600.47
  5. Step 5: Solve for x
    x = 119,600.47/365.49
  6. Step 6: Final answer
    x = 327.23

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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.