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Finding the Fourth Proportional to 657.39, 986.25 and 195.21

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Solution

The fourth proportional to 657.39, 986.25 and 195.21 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.39 : 986.25 = 195.21 : x
  2. Step 2: Convert to fraction form
    657.39/986.25 = 195.21/x
  3. Step 3: Cross multiply
    657.39x = 986.25 × 195.21
  4. Step 4: Simplify right side
    657.39x = 192,525.86
  5. Step 5: Solve for x
    x = 192,525.86/657.39
  6. Step 6: Final answer
    x = 292.86

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