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Finding the Fourth Proportional to 272.06, 406.37 and 256.26

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Solution

The fourth proportional to 272.06, 406.37 and 256.26 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.06 : 406.37 = 256.26 : x
  2. Step 2: Convert to fraction form
    272.06/406.37 = 256.26/x
  3. Step 3: Cross multiply
    272.06x = 406.37 × 256.26
  4. Step 4: Simplify right side
    272.06x = 104,137.10
  5. Step 5: Solve for x
    x = 104,137.10/272.06
  6. Step 6: Final answer
    x = 382.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.