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Finding the Fourth Proportional to 175.53, 263.16 and 107.07

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Solution

The fourth proportional to 175.53, 263.16 and 107.07 is: 160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.53 : 263.16 = 107.07 : x
  2. Step 2: Convert to fraction form
    175.53/263.16 = 107.07/x
  3. Step 3: Cross multiply
    175.53x = 263.16 × 107.07
  4. Step 4: Simplify right side
    175.53x = 28,176.54
  5. Step 5: Solve for x
    x = 28,176.54/175.53
  6. Step 6: Final answer
    x = 160.52

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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.