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Finding the Fourth Proportional to 286.22, 429.37 and 164.39

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Solution

The fourth proportional to 286.22, 429.37 and 164.39 is: 246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 429.37 = 164.39 : x
  2. Step 2: Convert to fraction form
    286.22/429.37 = 164.39/x
  3. Step 3: Cross multiply
    286.22x = 429.37 × 164.39
  4. Step 4: Simplify right side
    286.22x = 70,581.58
  5. Step 5: Solve for x
    x = 70,581.58/286.22
  6. Step 6: Final answer
    x = 246.60

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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.