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Finding the Fourth Proportional to 352.60, 528.23 and 198.06

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Solution

The fourth proportional to 352.60, 528.23 and 198.06 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.60 : 528.23 = 198.06 : x
  2. Step 2: Convert to fraction form
    352.60/528.23 = 198.06/x
  3. Step 3: Cross multiply
    352.60x = 528.23 × 198.06
  4. Step 4: Simplify right side
    352.60x = 104,620.24
  5. Step 5: Solve for x
    x = 104,620.24/352.60
  6. Step 6: Final answer
    x = 296.71

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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.