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Finding the Fourth Proportional to 305.49, 457.92 and 161.31

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Solution

The fourth proportional to 305.49, 457.92 and 161.31 is: 241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.49 : 457.92 = 161.31 : x
  2. Step 2: Convert to fraction form
    305.49/457.92 = 161.31/x
  3. Step 3: Cross multiply
    305.49x = 457.92 × 161.31
  4. Step 4: Simplify right side
    305.49x = 73,867.08
  5. Step 5: Solve for x
    x = 73,867.08/305.49
  6. Step 6: Final answer
    x = 241.80

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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.