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Finding the Fourth Proportional to 505.56, 758.17 and 197.56

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Solution

The fourth proportional to 505.56, 758.17 and 197.56 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.56 : 758.17 = 197.56 : x
  2. Step 2: Convert to fraction form
    505.56/758.17 = 197.56/x
  3. Step 3: Cross multiply
    505.56x = 758.17 × 197.56
  4. Step 4: Simplify right side
    505.56x = 149,784.07
  5. Step 5: Solve for x
    x = 149,784.07/505.56
  6. Step 6: Final answer
    x = 296.27

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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.