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Finding the Fourth Proportional to 281.03, 388.16 and 211.40

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Solution

The fourth proportional to 281.03, 388.16 and 211.40 is: 291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.03 : 388.16 = 211.40 : x
  2. Step 2: Convert to fraction form
    281.03/388.16 = 211.40/x
  3. Step 3: Cross multiply
    281.03x = 388.16 × 211.40
  4. Step 4: Simplify right side
    281.03x = 82,057.02
  5. Step 5: Solve for x
    x = 82,057.02/281.03
  6. Step 6: Final answer
    x = 291.99

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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.