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Finding the Fourth Proportional to 657.45, 986.13 and 195.23

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Solution

The fourth proportional to 657.45, 986.13 and 195.23 is: 292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.45 : 986.13 = 195.23 : x
  2. Step 2: Convert to fraction form
    657.45/986.13 = 195.23/x
  3. Step 3: Cross multiply
    657.45x = 986.13 × 195.23
  4. Step 4: Simplify right side
    657.45x = 192,524.63
  5. Step 5: Solve for x
    x = 192,524.63/657.45
  6. Step 6: Final answer
    x = 292.84

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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.