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Finding the Fourth Proportional to 352.96, 528.96 and 196.63

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Solution

The fourth proportional to 352.96, 528.96 and 196.63 is: 294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.96 : 528.96 = 196.63 : x
  2. Step 2: Convert to fraction form
    352.96/528.96 = 196.63/x
  3. Step 3: Cross multiply
    352.96x = 528.96 × 196.63
  4. Step 4: Simplify right side
    352.96x = 104,008.82
  5. Step 5: Solve for x
    x = 104,008.82/352.96
  6. Step 6: Final answer
    x = 294.68

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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.