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Finding the Fourth Proportional to 264.97, 364.13 and 218.26

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Solution

The fourth proportional to 264.97, 364.13 and 218.26 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.97 : 364.13 = 218.26 : x
  2. Step 2: Convert to fraction form
    264.97/364.13 = 218.26/x
  3. Step 3: Cross multiply
    264.97x = 364.13 × 218.26
  4. Step 4: Simplify right side
    264.97x = 79,475.01
  5. Step 5: Solve for x
    x = 79,475.01/264.97
  6. Step 6: Final answer
    x = 299.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.