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Finding the Fourth Proportional to 352.08, 527.72 and 189.54

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Solution

The fourth proportional to 352.08, 527.72 and 189.54 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.08 : 527.72 = 189.54 : x
  2. Step 2: Convert to fraction form
    352.08/527.72 = 189.54/x
  3. Step 3: Cross multiply
    352.08x = 527.72 × 189.54
  4. Step 4: Simplify right side
    352.08x = 100,023.10
  5. Step 5: Solve for x
    x = 100,023.10/352.08
  6. Step 6: Final answer
    x = 284.09

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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.