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Finding the Fourth Proportional to 281.41, 388.28 and 219.13

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Solution

The fourth proportional to 281.41, 388.28 and 219.13 is: 302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 388.28 = 219.13 : x
  2. Step 2: Convert to fraction form
    281.41/388.28 = 219.13/x
  3. Step 3: Cross multiply
    281.41x = 388.28 × 219.13
  4. Step 4: Simplify right side
    281.41x = 85,082.24
  5. Step 5: Solve for x
    x = 85,082.24/281.41
  6. Step 6: Final answer
    x = 302.35

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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.