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Finding the Fourth Proportional to 272.79, 375.78 and 189.75

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Solution

The fourth proportional to 272.79, 375.78 and 189.75 is: 261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.79 : 375.78 = 189.75 : x
  2. Step 2: Convert to fraction form
    272.79/375.78 = 189.75/x
  3. Step 3: Cross multiply
    272.79x = 375.78 × 189.75
  4. Step 4: Simplify right side
    272.79x = 71,304.26
  5. Step 5: Solve for x
    x = 71,304.26/272.79
  6. Step 6: Final answer
    x = 261.39

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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.