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Finding the Fourth Proportional to 286.01, 428.84 and 112.47

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Solution

The fourth proportional to 286.01, 428.84 and 112.47 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.01 : 428.84 = 112.47 : x
  2. Step 2: Convert to fraction form
    286.01/428.84 = 112.47/x
  3. Step 3: Cross multiply
    286.01x = 428.84 × 112.47
  4. Step 4: Simplify right side
    286.01x = 48,231.32
  5. Step 5: Solve for x
    x = 48,231.32/286.01
  6. Step 6: Final answer
    x = 168.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.