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Finding the Fourth Proportional to 286.53, 429.72 and 113.19

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Solution

The fourth proportional to 286.53, 429.72 and 113.19 is: 169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.53 : 429.72 = 113.19 : x
  2. Step 2: Convert to fraction form
    286.53/429.72 = 113.19/x
  3. Step 3: Cross multiply
    286.53x = 429.72 × 113.19
  4. Step 4: Simplify right side
    286.53x = 48,640.01
  5. Step 5: Solve for x
    x = 48,640.01/286.53
  6. Step 6: Final answer
    x = 169.76

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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.