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Finding the Fourth Proportional to 657.56, 986.32 and 163.97

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Solution

The fourth proportional to 657.56, 986.32 and 163.97 is: 245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 986.32 = 163.97 : x
  2. Step 2: Convert to fraction form
    657.56/986.32 = 163.97/x
  3. Step 3: Cross multiply
    657.56x = 986.32 × 163.97
  4. Step 4: Simplify right side
    657.56x = 161,726.07
  5. Step 5: Solve for x
    x = 161,726.07/657.56
  6. Step 6: Final answer
    x = 245.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.