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Finding the Fourth Proportional to 272.26, 407.94 and 169.24

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Solution

The fourth proportional to 272.26, 407.94 and 169.24 is: 253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.26 : 407.94 = 169.24 : x
  2. Step 2: Convert to fraction form
    272.26/407.94 = 169.24/x
  3. Step 3: Cross multiply
    272.26x = 407.94 × 169.24
  4. Step 4: Simplify right side
    272.26x = 69,039.77
  5. Step 5: Solve for x
    x = 69,039.77/272.26
  6. Step 6: Final answer
    x = 253.58

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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.