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Finding the Fourth Proportional to 386.26, 532.98 and 218.22

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Solution

The fourth proportional to 386.26, 532.98 and 218.22 is: 301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 532.98 = 218.22 : x
  2. Step 2: Convert to fraction form
    386.26/532.98 = 218.22/x
  3. Step 3: Cross multiply
    386.26x = 532.98 × 218.22
  4. Step 4: Simplify right side
    386.26x = 116,307.44
  5. Step 5: Solve for x
    x = 116,307.44/386.26
  6. Step 6: Final answer
    x = 301.11

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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.