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Finding the Fourth Proportional to 252.54, 378.81 and 161.15

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Solution

The fourth proportional to 252.54, 378.81 and 161.15 is: 241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 378.81 = 161.15 : x
  2. Step 2: Convert to fraction form
    252.54/378.81 = 161.15/x
  3. Step 3: Cross multiply
    252.54x = 378.81 × 161.15
  4. Step 4: Simplify right side
    252.54x = 61,045.36
  5. Step 5: Solve for x
    x = 61,045.36/252.54
  6. Step 6: Final answer
    x = 241.72

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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.