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Finding the Fourth Proportional to 352.78, 529.00 and 109.24

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Solution

The fourth proportional to 352.78, 529.00 and 109.24 is: 163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.78 : 529.00 = 109.24 : x
  2. Step 2: Convert to fraction form
    352.78/529.00 = 109.24/x
  3. Step 3: Cross multiply
    352.78x = 529.00 × 109.24
  4. Step 4: Simplify right side
    352.78x = 57,786.36
  5. Step 5: Solve for x
    x = 57,786.36/352.78
  6. Step 6: Final answer
    x = 163.80

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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.