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Finding the Fourth Proportional to 352.86, 529.28 and 190.86

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Solution

The fourth proportional to 352.86, 529.28 and 190.86 is: 286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.86 : 529.28 = 190.86 : x
  2. Step 2: Convert to fraction form
    352.86/529.28 = 190.86/x
  3. Step 3: Cross multiply
    352.86x = 529.28 × 190.86
  4. Step 4: Simplify right side
    352.86x = 101,017.43
  5. Step 5: Solve for x
    x = 101,017.43/352.86
  6. Step 6: Final answer
    x = 286.28

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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.