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Finding the Fourth Proportional to 357.26, 535.82 and 110.42

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Solution

The fourth proportional to 357.26, 535.82 and 110.42 is: 165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.26 : 535.82 = 110.42 : x
  2. Step 2: Convert to fraction form
    357.26/535.82 = 110.42/x
  3. Step 3: Cross multiply
    357.26x = 535.82 × 110.42
  4. Step 4: Simplify right side
    357.26x = 59,166.03
  5. Step 5: Solve for x
    x = 59,166.03/357.26
  6. Step 6: Final answer
    x = 165.61

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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.