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Finding the Fourth Proportional to 363.72, 501.93 and 206.35

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Solution

The fourth proportional to 363.72, 501.93 and 206.35 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.72 : 501.93 = 206.35 : x
  2. Step 2: Convert to fraction form
    363.72/501.93 = 206.35/x
  3. Step 3: Cross multiply
    363.72x = 501.93 × 206.35
  4. Step 4: Simplify right side
    363.72x = 103,573.26
  5. Step 5: Solve for x
    x = 103,573.26/363.72
  6. Step 6: Final answer
    x = 284.76

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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.