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Finding the Fourth Proportional to 272.56, 375.96 and 214.32

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Solution

The fourth proportional to 272.56, 375.96 and 214.32 is: 295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.56 : 375.96 = 214.32 : x
  2. Step 2: Convert to fraction form
    272.56/375.96 = 214.32/x
  3. Step 3: Cross multiply
    272.56x = 375.96 × 214.32
  4. Step 4: Simplify right side
    272.56x = 80,575.75
  5. Step 5: Solve for x
    x = 80,575.75/272.56
  6. Step 6: Final answer
    x = 295.63

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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.