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Finding the Fourth Proportional to 352.34, 528.10 and 189.68

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Solution

The fourth proportional to 352.34, 528.10 and 189.68 is: 284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.34 : 528.10 = 189.68 : x
  2. Step 2: Convert to fraction form
    352.34/528.10 = 189.68/x
  3. Step 3: Cross multiply
    352.34x = 528.10 × 189.68
  4. Step 4: Simplify right side
    352.34x = 100,170.01
  5. Step 5: Solve for x
    x = 100,170.01/352.34
  6. Step 6: Final answer
    x = 284.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.