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Finding the Fourth Proportional to 197.49, 294.26 and 175.94

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Solution

The fourth proportional to 197.49, 294.26 and 175.94 is: 262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.49 : 294.26 = 175.94 : x
  2. Step 2: Convert to fraction form
    197.49/294.26 = 175.94/x
  3. Step 3: Cross multiply
    197.49x = 294.26 × 175.94
  4. Step 4: Simplify right side
    197.49x = 51,770.63
  5. Step 5: Solve for x
    x = 51,770.63/197.49
  6. Step 6: Final answer
    x = 262.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.