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Finding the Fourth Proportional to 281.02, 420.73 and 219.26

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Solution

The fourth proportional to 281.02, 420.73 and 219.26 is: 328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.02 : 420.73 = 219.26 : x
  2. Step 2: Convert to fraction form
    281.02/420.73 = 219.26/x
  3. Step 3: Cross multiply
    281.02x = 420.73 × 219.26
  4. Step 4: Simplify right side
    281.02x = 92,249.26
  5. Step 5: Solve for x
    x = 92,249.26/281.02
  6. Step 6: Final answer
    x = 328.27

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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.