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Finding the Fourth Proportional to 505.23, 758.07 and 197.30

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Solution

The fourth proportional to 505.23, 758.07 and 197.30 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 758.07 = 197.30 : x
  2. Step 2: Convert to fraction form
    505.23/758.07 = 197.30/x
  3. Step 3: Cross multiply
    505.23x = 758.07 × 197.30
  4. Step 4: Simplify right side
    505.23x = 149,563.42
  5. Step 5: Solve for x
    x = 149,563.42/505.23
  6. Step 6: Final answer
    x = 296.03

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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.