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Finding the Fourth Proportional to 274.98, 412.40 and 137.84

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Solution

The fourth proportional to 274.98, 412.40 and 137.84 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.98 : 412.40 = 137.84 : x
  2. Step 2: Convert to fraction form
    274.98/412.40 = 137.84/x
  3. Step 3: Cross multiply
    274.98x = 412.40 × 137.84
  4. Step 4: Simplify right side
    274.98x = 56,845.22
  5. Step 5: Solve for x
    x = 56,845.22/274.98
  6. Step 6: Final answer
    x = 206.72

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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.