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Finding the Fourth Proportional to 272.26, 407.84 and 163.98

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Solution

The fourth proportional to 272.26, 407.84 and 163.98 is: 245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.26 : 407.84 = 163.98 : x
  2. Step 2: Convert to fraction form
    272.26/407.84 = 163.98/x
  3. Step 3: Cross multiply
    272.26x = 407.84 × 163.98
  4. Step 4: Simplify right side
    272.26x = 66,877.60
  5. Step 5: Solve for x
    x = 66,877.60/272.26
  6. Step 6: Final answer
    x = 245.64

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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.