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Finding the Fourth Proportional to 286.26, 430.17 and 156.36

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Solution

The fourth proportional to 286.26, 430.17 and 156.36 is: 234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 430.17 = 156.36 : x
  2. Step 2: Convert to fraction form
    286.26/430.17 = 156.36/x
  3. Step 3: Cross multiply
    286.26x = 430.17 × 156.36
  4. Step 4: Simplify right side
    286.26x = 67,261.38
  5. Step 5: Solve for x
    x = 67,261.38/286.26
  6. Step 6: Final answer
    x = 234.97

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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.