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Finding the Fourth Proportional to 365.68, 504.63 and 218.31

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Solution

The fourth proportional to 365.68, 504.63 and 218.31 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.68 : 504.63 = 218.31 : x
  2. Step 2: Convert to fraction form
    365.68/504.63 = 218.31/x
  3. Step 3: Cross multiply
    365.68x = 504.63 × 218.31
  4. Step 4: Simplify right side
    365.68x = 110,166.72
  5. Step 5: Solve for x
    x = 110,166.72/365.68
  6. Step 6: Final answer
    x = 301.26

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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.