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Finding the Fourth Proportional to 287.09, 396.16 and 161.06

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Solution

The fourth proportional to 287.09, 396.16 and 161.06 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.09 : 396.16 = 161.06 : x
  2. Step 2: Convert to fraction form
    287.09/396.16 = 161.06/x
  3. Step 3: Cross multiply
    287.09x = 396.16 × 161.06
  4. Step 4: Simplify right side
    287.09x = 63,803.88
  5. Step 5: Solve for x
    x = 63,803.88/287.09
  6. Step 6: Final answer
    x = 222.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.