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Finding the Fourth Proportional to 365.36, 504.16 and 218

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Solution

The fourth proportional to 365.36, 504.16 and 218 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.36 : 504.16 = 218 : x
  2. Step 2: Convert to fraction form
    365.36/504.16 = 218/x
  3. Step 3: Cross multiply
    365.36x = 504.16 × 218
  4. Step 4: Simplify right side
    365.36x = 109,906.88
  5. Step 5: Solve for x
    x = 109,906.88/365.36
  6. Step 6: Final answer
    x = 300.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.