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Finding the Fourth Proportional to 316.26, 435.96 and 218.22

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Solution

The fourth proportional to 316.26, 435.96 and 218.22 is: 300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.26 : 435.96 = 218.22 : x
  2. Step 2: Convert to fraction form
    316.26/435.96 = 218.22/x
  3. Step 3: Cross multiply
    316.26x = 435.96 × 218.22
  4. Step 4: Simplify right side
    316.26x = 95,135.19
  5. Step 5: Solve for x
    x = 95,135.19/316.26
  6. Step 6: Final answer
    x = 300.81

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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.