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Finding the Fourth Proportional to 282.15, 388.95 and 212.21

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Solution

The fourth proportional to 282.15, 388.95 and 212.21 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.15 : 388.95 = 212.21 : x
  2. Step 2: Convert to fraction form
    282.15/388.95 = 212.21/x
  3. Step 3: Cross multiply
    282.15x = 388.95 × 212.21
  4. Step 4: Simplify right side
    282.15x = 82,537.80
  5. Step 5: Solve for x
    x = 82,537.80/282.15
  6. Step 6: Final answer
    x = 292.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.