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Finding the Fourth Proportional to 197.79, 297.27 and 171.06

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Solution

The fourth proportional to 197.79, 297.27 and 171.06 is: 257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.79 : 297.27 = 171.06 : x
  2. Step 2: Convert to fraction form
    197.79/297.27 = 171.06/x
  3. Step 3: Cross multiply
    197.79x = 297.27 × 171.06
  4. Step 4: Simplify right side
    197.79x = 50,851.01
  5. Step 5: Solve for x
    x = 50,851.01/197.79
  6. Step 6: Final answer
    x = 257.10

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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.