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Finding the Fourth Proportional to 657.58, 986.37 and 163.99

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Solution

The fourth proportional to 657.58, 986.37 and 163.99 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.58 : 986.37 = 163.99 : x
  2. Step 2: Convert to fraction form
    657.58/986.37 = 163.99/x
  3. Step 3: Cross multiply
    657.58x = 986.37 × 163.99
  4. Step 4: Simplify right side
    657.58x = 161,749.47
  5. Step 5: Solve for x
    x = 161,749.47/657.58
  6. Step 6: Final answer
    x = 245.98

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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.