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Finding the Fourth Proportional to 218.17, 301.45 and 206.22

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Solution

The fourth proportional to 218.17, 301.45 and 206.22 is: 284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.17 : 301.45 = 206.22 : x
  2. Step 2: Convert to fraction form
    218.17/301.45 = 206.22/x
  3. Step 3: Cross multiply
    218.17x = 301.45 × 206.22
  4. Step 4: Simplify right side
    218.17x = 62,165.02
  5. Step 5: Solve for x
    x = 62,165.02/218.17
  6. Step 6: Final answer
    x = 284.94

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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.