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Finding the Fourth Proportional to 281.71, 388.96 and 211.93

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Solution

The fourth proportional to 281.71, 388.96 and 211.93 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.71 : 388.96 = 211.93 : x
  2. Step 2: Convert to fraction form
    281.71/388.96 = 211.93/x
  3. Step 3: Cross multiply
    281.71x = 388.96 × 211.93
  4. Step 4: Simplify right side
    281.71x = 82,432.29
  5. Step 5: Solve for x
    x = 82,432.29/281.71
  6. Step 6: Final answer
    x = 292.61

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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.