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Finding the Fourth Proportional to 286.37, 429.33 and 132.19

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Solution

The fourth proportional to 286.37, 429.33 and 132.19 is: 198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.37 : 429.33 = 132.19 : x
  2. Step 2: Convert to fraction form
    286.37/429.33 = 132.19/x
  3. Step 3: Cross multiply
    286.37x = 429.33 × 132.19
  4. Step 4: Simplify right side
    286.37x = 56,753.13
  5. Step 5: Solve for x
    x = 56,753.13/286.37
  6. Step 6: Final answer
    x = 198.18

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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.