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Finding the Fourth Proportional to 175.27, 262.90 and 106.78

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Solution

The fourth proportional to 175.27, 262.90 and 106.78 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.27 : 262.90 = 106.78 : x
  2. Step 2: Convert to fraction form
    175.27/262.90 = 106.78/x
  3. Step 3: Cross multiply
    175.27x = 262.90 × 106.78
  4. Step 4: Simplify right side
    175.27x = 28,072.46
  5. Step 5: Solve for x
    x = 28,072.46/175.27
  6. Step 6: Final answer
    x = 160.17

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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.