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Finding the Fourth Proportional to 175.78, 263.42 and 107.28

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Solution

The fourth proportional to 175.78, 263.42 and 107.28 is: 160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.78 : 263.42 = 107.28 : x
  2. Step 2: Convert to fraction form
    175.78/263.42 = 107.28/x
  3. Step 3: Cross multiply
    175.78x = 263.42 × 107.28
  4. Step 4: Simplify right side
    175.78x = 28,259.70
  5. Step 5: Solve for x
    x = 28,259.70/175.78
  6. Step 6: Final answer
    x = 160.77

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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.