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Finding the Fourth Proportional to 197.48, 294.26 and 175.94

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Solution

The fourth proportional to 197.48, 294.26 and 175.94 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.48 : 294.26 = 175.94 : x
  2. Step 2: Convert to fraction form
    197.48/294.26 = 175.94/x
  3. Step 3: Cross multiply
    197.48x = 294.26 × 175.94
  4. Step 4: Simplify right side
    197.48x = 51,772.10
  5. Step 5: Solve for x
    x = 51,772.10/197.48
  6. Step 6: Final answer
    x = 262.16

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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.