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Finding the Fourth Proportional to 352.08, 528.33 and 189.87

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Solution

The fourth proportional to 352.08, 528.33 and 189.87 is: 284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.08 : 528.33 = 189.87 : x
  2. Step 2: Convert to fraction form
    352.08/528.33 = 189.87/x
  3. Step 3: Cross multiply
    352.08x = 528.33 × 189.87
  4. Step 4: Simplify right side
    352.08x = 100,314.02
  5. Step 5: Solve for x
    x = 100,314.02/352.08
  6. Step 6: Final answer
    x = 284.92

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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.