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Finding the Fourth Proportional to 196.56, 294.86 and 170.86

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Solution

The fourth proportional to 196.56, 294.86 and 170.86 is: 256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 294.86 = 170.86 : x
  2. Step 2: Convert to fraction form
    196.56/294.86 = 170.86/x
  3. Step 3: Cross multiply
    196.56x = 294.86 × 170.86
  4. Step 4: Simplify right side
    196.56x = 50,379.78
  5. Step 5: Solve for x
    x = 50,379.78/196.56
  6. Step 6: Final answer
    x = 256.31

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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.