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Finding the Fourth Proportional to 352.96, 529.60 and 179.52

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Solution

The fourth proportional to 352.96, 529.60 and 179.52 is: 269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.96 : 529.60 = 179.52 : x
  2. Step 2: Convert to fraction form
    352.96/529.60 = 179.52/x
  3. Step 3: Cross multiply
    352.96x = 529.60 × 179.52
  4. Step 4: Simplify right side
    352.96x = 95,073.79
  5. Step 5: Solve for x
    x = 95,073.79/352.96
  6. Step 6: Final answer
    x = 269.36

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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.