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Finding the Fourth Proportional to 286.15, 430.19 and 226.01

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Solution

The fourth proportional to 286.15, 430.19 and 226.01 is: 339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.15 : 430.19 = 226.01 : x
  2. Step 2: Convert to fraction form
    286.15/430.19 = 226.01/x
  3. Step 3: Cross multiply
    286.15x = 430.19 × 226.01
  4. Step 4: Simplify right side
    286.15x = 97,227.24
  5. Step 5: Solve for x
    x = 97,227.24/286.15
  6. Step 6: Final answer
    x = 339.78

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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.