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Finding the Fourth Proportional to 223.66, 308.53 and 208.02

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Solution

The fourth proportional to 223.66, 308.53 and 208.02 is: 286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.66 : 308.53 = 208.02 : x
  2. Step 2: Convert to fraction form
    223.66/308.53 = 208.02/x
  3. Step 3: Cross multiply
    223.66x = 308.53 × 208.02
  4. Step 4: Simplify right side
    223.66x = 64,180.41
  5. Step 5: Solve for x
    x = 64,180.41/223.66
  6. Step 6: Final answer
    x = 286.96

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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.