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Finding the Fourth Proportional to 207.24, 285.99 and 163.50

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Solution

The fourth proportional to 207.24, 285.99 and 163.50 is: 225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.24 : 285.99 = 163.50 : x
  2. Step 2: Convert to fraction form
    207.24/285.99 = 163.50/x
  3. Step 3: Cross multiply
    207.24x = 285.99 × 163.50
  4. Step 4: Simplify right side
    207.24x = 46,759.37
  5. Step 5: Solve for x
    x = 46,759.37/207.24
  6. Step 6: Final answer
    x = 225.63

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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.