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Finding the Fourth Proportional to 196.20, 269.54 and 175.74

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Solution

The fourth proportional to 196.20, 269.54 and 175.74 is: 241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 269.54 = 175.74 : x
  2. Step 2: Convert to fraction form
    196.20/269.54 = 175.74/x
  3. Step 3: Cross multiply
    196.20x = 269.54 × 175.74
  4. Step 4: Simplify right side
    196.20x = 47,368.96
  5. Step 5: Solve for x
    x = 47,368.96/196.20
  6. Step 6: Final answer
    x = 241.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.