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Finding the Fourth Proportional to 355.26, 532.84 and 111.78

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Solution

The fourth proportional to 355.26, 532.84 and 111.78 is: 167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.26 : 532.84 = 111.78 : x
  2. Step 2: Convert to fraction form
    355.26/532.84 = 111.78/x
  3. Step 3: Cross multiply
    355.26x = 532.84 × 111.78
  4. Step 4: Simplify right side
    355.26x = 59,561.91
  5. Step 5: Solve for x
    x = 59,561.91/355.26
  6. Step 6: Final answer
    x = 167.66

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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.