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Finding the Fourth Proportional to 657.09, 985.80 and 194.88

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Solution

The fourth proportional to 657.09, 985.80 and 194.88 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.09 : 985.80 = 194.88 : x
  2. Step 2: Convert to fraction form
    657.09/985.80 = 194.88/x
  3. Step 3: Cross multiply
    657.09x = 985.80 × 194.88
  4. Step 4: Simplify right side
    657.09x = 192,112.70
  5. Step 5: Solve for x
    x = 192,112.70/657.09
  6. Step 6: Final answer
    x = 292.37

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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.