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Finding the Fourth Proportional to 352.10, 528.42 and 189.83

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Solution

The fourth proportional to 352.10, 528.42 and 189.83 is: 284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.10 : 528.42 = 189.83 : x
  2. Step 2: Convert to fraction form
    352.10/528.42 = 189.83/x
  3. Step 3: Cross multiply
    352.10x = 528.42 × 189.83
  4. Step 4: Simplify right side
    352.10x = 100,309.97
  5. Step 5: Solve for x
    x = 100,309.97/352.10
  6. Step 6: Final answer
    x = 284.89

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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.