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Finding the Fourth Proportional to 505.18, 757.32 and 196.98

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Solution

The fourth proportional to 505.18, 757.32 and 196.98 is: 295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.18 : 757.32 = 196.98 : x
  2. Step 2: Convert to fraction form
    505.18/757.32 = 196.98/x
  3. Step 3: Cross multiply
    505.18x = 757.32 × 196.98
  4. Step 4: Simplify right side
    505.18x = 149,176.89
  5. Step 5: Solve for x
    x = 149,176.89/505.18
  6. Step 6: Final answer
    x = 295.29

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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.