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Finding the Fourth Proportional to 505.12, 757.69 and 196.98

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Solution

The fourth proportional to 505.12, 757.69 and 196.98 is: 295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.12 : 757.69 = 196.98 : x
  2. Step 2: Convert to fraction form
    505.12/757.69 = 196.98/x
  3. Step 3: Cross multiply
    505.12x = 757.69 × 196.98
  4. Step 4: Simplify right side
    505.12x = 149,249.78
  5. Step 5: Solve for x
    x = 149,249.78/505.12
  6. Step 6: Final answer
    x = 295.47

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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.