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Finding the Fourth Proportional to 363.89, 502.16 and 206.53

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Solution

The fourth proportional to 363.89, 502.16 and 206.53 is: 285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.89 : 502.16 = 206.53 : x
  2. Step 2: Convert to fraction form
    363.89/502.16 = 206.53/x
  3. Step 3: Cross multiply
    363.89x = 502.16 × 206.53
  4. Step 4: Simplify right side
    363.89x = 103,708.82
  5. Step 5: Solve for x
    x = 103,708.82/363.89
  6. Step 6: Final answer
    x = 285.00

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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.