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Finding the Fourth Proportional to 505.66, 758.13 and 197.26

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Solution

The fourth proportional to 505.66, 758.13 and 197.26 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 758.13 = 197.26 : x
  2. Step 2: Convert to fraction form
    505.66/758.13 = 197.26/x
  3. Step 3: Cross multiply
    505.66x = 758.13 × 197.26
  4. Step 4: Simplify right side
    505.66x = 149,548.72
  5. Step 5: Solve for x
    x = 149,548.72/505.66
  6. Step 6: Final answer
    x = 295.75

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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.