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Finding the Fourth Proportional to 352.70, 528.85 and 196.57

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Solution

The fourth proportional to 352.70, 528.85 and 196.57 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.70 : 528.85 = 196.57 : x
  2. Step 2: Convert to fraction form
    352.70/528.85 = 196.57/x
  3. Step 3: Cross multiply
    352.70x = 528.85 × 196.57
  4. Step 4: Simplify right side
    352.70x = 103,953.40
  5. Step 5: Solve for x
    x = 103,953.40/352.70
  6. Step 6: Final answer
    x = 294.74

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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.