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Finding the Fourth Proportional to 274.96, 412.06 and 137.72

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Solution

The fourth proportional to 274.96, 412.06 and 137.72 is: 206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.96 : 412.06 = 137.72 : x
  2. Step 2: Convert to fraction form
    274.96/412.06 = 137.72/x
  3. Step 3: Cross multiply
    274.96x = 412.06 × 137.72
  4. Step 4: Simplify right side
    274.96x = 56,748.90
  5. Step 5: Solve for x
    x = 56,748.90/274.96
  6. Step 6: Final answer
    x = 206.39

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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.