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Finding the Fourth Proportional to 281.32, 422.28 and 223.91

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Solution

The fourth proportional to 281.32, 422.28 and 223.91 is: 336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.32 : 422.28 = 223.91 : x
  2. Step 2: Convert to fraction form
    281.32/422.28 = 223.91/x
  3. Step 3: Cross multiply
    281.32x = 422.28 × 223.91
  4. Step 4: Simplify right side
    281.32x = 94,552.19
  5. Step 5: Solve for x
    x = 94,552.19/281.32
  6. Step 6: Final answer
    x = 336.10

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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.