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Finding the Fourth Proportional to 286.64, 429.78 and 132.36

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Solution

The fourth proportional to 286.64, 429.78 and 132.36 is: 198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 429.78 = 132.36 : x
  2. Step 2: Convert to fraction form
    286.64/429.78 = 132.36/x
  3. Step 3: Cross multiply
    286.64x = 429.78 × 132.36
  4. Step 4: Simplify right side
    286.64x = 56,884.57
  5. Step 5: Solve for x
    x = 56,884.57/286.64
  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.