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Finding the Fourth Proportional to 286.37, 429.44 and 132.33

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Solution

The fourth proportional to 286.37, 429.44 and 132.33 is: 198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.37 : 429.44 = 132.33 : x
  2. Step 2: Convert to fraction form
    286.37/429.44 = 132.33/x
  3. Step 3: Cross multiply
    286.37x = 429.44 × 132.33
  4. Step 4: Simplify right side
    286.37x = 56,828.74
  5. Step 5: Solve for x
    x = 56,828.74/286.37
  6. Step 6: Final answer
    x = 198.45

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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.