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Finding the Fourth Proportional to 363.56, 501.71 and 206.22

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Solution

The fourth proportional to 363.56, 501.71 and 206.22 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.56 : 501.71 = 206.22 : x
  2. Step 2: Convert to fraction form
    363.56/501.71 = 206.22/x
  3. Step 3: Cross multiply
    363.56x = 501.71 × 206.22
  4. Step 4: Simplify right side
    363.56x = 103,461.61
  5. Step 5: Solve for x
    x = 103,461.61/363.56
  6. Step 6: Final answer
    x = 284.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.