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Finding the Fourth Proportional to 352.20, 528.30 and 159.78

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Solution

The fourth proportional to 352.20, 528.30 and 159.78 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.20 : 528.30 = 159.78 : x
  2. Step 2: Convert to fraction form
    352.20/528.30 = 159.78/x
  3. Step 3: Cross multiply
    352.20x = 528.30 × 159.78
  4. Step 4: Simplify right side
    352.20x = 84,411.77
  5. Step 5: Solve for x
    x = 84,411.77/352.20
  6. Step 6: Final answer
    x = 239.67

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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.