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Finding the Fourth Proportional to 272.44, 407.95 and 185.57

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Solution

The fourth proportional to 272.44, 407.95 and 185.57 is: 277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 407.95 = 185.57 : x
  2. Step 2: Convert to fraction form
    272.44/407.95 = 185.57/x
  3. Step 3: Cross multiply
    272.44x = 407.95 × 185.57
  4. Step 4: Simplify right side
    272.44x = 75,700.78
  5. Step 5: Solve for x
    x = 75,700.78/272.44
  6. Step 6: Final answer
    x = 277.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.