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Finding the Fourth Proportional to 175.56, 262.62 and 107.08

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Solution

The fourth proportional to 175.56, 262.62 and 107.08 is: 160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.56 : 262.62 = 107.08 : x
  2. Step 2: Convert to fraction form
    175.56/262.62 = 107.08/x
  3. Step 3: Cross multiply
    175.56x = 262.62 × 107.08
  4. Step 4: Simplify right side
    175.56x = 28,121.35
  5. Step 5: Solve for x
    x = 28,121.35/175.56
  6. Step 6: Final answer
    x = 160.18

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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.