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Finding the Fourth Proportional to 352.85, 529.42 and 190.64

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Solution

The fourth proportional to 352.85, 529.42 and 190.64 is: 286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.85 : 529.42 = 190.64 : x
  2. Step 2: Convert to fraction form
    352.85/529.42 = 190.64/x
  3. Step 3: Cross multiply
    352.85x = 529.42 × 190.64
  4. Step 4: Simplify right side
    352.85x = 100,929.83
  5. Step 5: Solve for x
    x = 100,929.83/352.85
  6. Step 6: Final answer
    x = 286.05

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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.