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Finding the Fourth Proportional to 505.94, 759.05 and 197.81

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Solution

The fourth proportional to 505.94, 759.05 and 197.81 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 759.05 = 197.81 : x
  2. Step 2: Convert to fraction form
    505.94/759.05 = 197.81/x
  3. Step 3: Cross multiply
    505.94x = 759.05 × 197.81
  4. Step 4: Simplify right side
    505.94x = 150,142.90
  5. Step 5: Solve for x
    x = 150,142.90/505.94
  6. Step 6: Final answer
    x = 296.76

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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.