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Finding the Fourth Proportional to 272.22, 375.75 and 194.46

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Solution

The fourth proportional to 272.22, 375.75 and 194.46 is: 268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.22 : 375.75 = 194.46 : x
  2. Step 2: Convert to fraction form
    272.22/375.75 = 194.46/x
  3. Step 3: Cross multiply
    272.22x = 375.75 × 194.46
  4. Step 4: Simplify right side
    272.22x = 73,068.35
  5. Step 5: Solve for x
    x = 73,068.35/272.22
  6. Step 6: Final answer
    x = 268.42

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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.