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Finding the Fourth Proportional to 287.26, 431.06 and 113.95

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Solution

The fourth proportional to 287.26, 431.06 and 113.95 is: 170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.26 : 431.06 = 113.95 : x
  2. Step 2: Convert to fraction form
    287.26/431.06 = 113.95/x
  3. Step 3: Cross multiply
    287.26x = 431.06 × 113.95
  4. Step 4: Simplify right side
    287.26x = 49,118.49
  5. Step 5: Solve for x
    x = 49,118.49/287.26
  6. Step 6: Final answer
    x = 170.99

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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.