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Finding the Fourth Proportional to 363.75, 502.02 and 208.50

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Solution

The fourth proportional to 363.75, 502.02 and 208.50 is: 287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.75 : 502.02 = 208.50 : x
  2. Step 2: Convert to fraction form
    363.75/502.02 = 208.50/x
  3. Step 3: Cross multiply
    363.75x = 502.02 × 208.50
  4. Step 4: Simplify right side
    363.75x = 104,671.17
  5. Step 5: Solve for x
    x = 104,671.17/363.75
  6. Step 6: Final answer
    x = 287.76

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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.