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Finding the Fourth Proportional to 197.43, 295.28 and 175.89

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Solution

The fourth proportional to 197.43, 295.28 and 175.89 is: 263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.43 : 295.28 = 175.89 : x
  2. Step 2: Convert to fraction form
    197.43/295.28 = 175.89/x
  3. Step 3: Cross multiply
    197.43x = 295.28 × 175.89
  4. Step 4: Simplify right side
    197.43x = 51,935.92
  5. Step 5: Solve for x
    x = 51,935.92/197.43
  6. Step 6: Final answer
    x = 263.06

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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.