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Finding the Fourth Proportional to 353.08, 528.74 and 198.57

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Solution

The fourth proportional to 353.08, 528.74 and 198.57 is: 297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.08 : 528.74 = 198.57 : x
  2. Step 2: Convert to fraction form
    353.08/528.74 = 198.57/x
  3. Step 3: Cross multiply
    353.08x = 528.74 × 198.57
  4. Step 4: Simplify right side
    353.08x = 104,991.90
  5. Step 5: Solve for x
    x = 104,991.90/353.08
  6. Step 6: Final answer
    x = 297.36

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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.