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Finding the Fourth Proportional to 175.70, 263.24 and 107.06

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Solution

The fourth proportional to 175.70, 263.24 and 107.06 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.70 : 263.24 = 107.06 : x
  2. Step 2: Convert to fraction form
    175.70/263.24 = 107.06/x
  3. Step 3: Cross multiply
    175.70x = 263.24 × 107.06
  4. Step 4: Simplify right side
    175.70x = 28,182.47
  5. Step 5: Solve for x
    x = 28,182.47/175.70
  6. Step 6: Final answer
    x = 160.40

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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.