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Finding the Fourth Proportional to 223.61, 308.36 and 206.17

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Solution

The fourth proportional to 223.61, 308.36 and 206.17 is: 284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.61 : 308.36 = 206.17 : x
  2. Step 2: Convert to fraction form
    223.61/308.36 = 206.17/x
  3. Step 3: Cross multiply
    223.61x = 308.36 × 206.17
  4. Step 4: Simplify right side
    223.61x = 63,574.33
  5. Step 5: Solve for x
    x = 63,574.33/223.61
  6. Step 6: Final answer
    x = 284.32

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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.