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Finding the Fourth Proportional to 281.22, 419.80 and 262.86

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Solution

The fourth proportional to 281.22, 419.80 and 262.86 is: 392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.22 : 419.80 = 262.86 : x
  2. Step 2: Convert to fraction form
    281.22/419.80 = 262.86/x
  3. Step 3: Cross multiply
    281.22x = 419.80 × 262.86
  4. Step 4: Simplify right side
    281.22x = 110,348.63
  5. Step 5: Solve for x
    x = 110,348.63/281.22
  6. Step 6: Final answer
    x = 392.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.