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Finding the Fourth Proportional to 256.06, 352.77 and 212.26

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Solution

The fourth proportional to 256.06, 352.77 and 212.26 is: 292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.06 : 352.77 = 212.26 : x
  2. Step 2: Convert to fraction form
    256.06/352.77 = 212.26/x
  3. Step 3: Cross multiply
    256.06x = 352.77 × 212.26
  4. Step 4: Simplify right side
    256.06x = 74,878.96
  5. Step 5: Solve for x
    x = 74,878.96/256.06
  6. Step 6: Final answer
    x = 292.43

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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.