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Finding the Fourth Proportional to 357.11, 535.73 and 110.33

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Solution

The fourth proportional to 357.11, 535.73 and 110.33 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.11 : 535.73 = 110.33 : x
  2. Step 2: Convert to fraction form
    357.11/535.73 = 110.33/x
  3. Step 3: Cross multiply
    357.11x = 535.73 × 110.33
  4. Step 4: Simplify right side
    357.11x = 59,103.86
  5. Step 5: Solve for x
    x = 59,103.86/357.11
  6. Step 6: Final answer
    x = 165.51

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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.