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Finding the Fourth Proportional to 282.98, 424.26 and 191.44

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Solution

The fourth proportional to 282.98, 424.26 and 191.44 is: 287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.98 : 424.26 = 191.44 : x
  2. Step 2: Convert to fraction form
    282.98/424.26 = 191.44/x
  3. Step 3: Cross multiply
    282.98x = 424.26 × 191.44
  4. Step 4: Simplify right side
    282.98x = 81,220.33
  5. Step 5: Solve for x
    x = 81,220.33/282.98
  6. Step 6: Final answer
    x = 287.02

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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.