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Finding the Fourth Proportional to 281.31, 420.73 and 165.47

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Solution

The fourth proportional to 281.31, 420.73 and 165.47 is: 247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.31 : 420.73 = 165.47 : x
  2. Step 2: Convert to fraction form
    281.31/420.73 = 165.47/x
  3. Step 3: Cross multiply
    281.31x = 420.73 × 165.47
  4. Step 4: Simplify right side
    281.31x = 69,617.37
  5. Step 5: Solve for x
    x = 69,617.37/281.31
  6. Step 6: Final answer
    x = 247.48

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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.