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Finding the Fourth Proportional to 274.88, 412.01 and 138.04

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Solution

The fourth proportional to 274.88, 412.01 and 138.04 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.88 : 412.01 = 138.04 : x
  2. Step 2: Convert to fraction form
    274.88/412.01 = 138.04/x
  3. Step 3: Cross multiply
    274.88x = 412.01 × 138.04
  4. Step 4: Simplify right side
    274.88x = 56,873.86
  5. Step 5: Solve for x
    x = 56,873.86/274.88
  6. Step 6: Final answer
    x = 206.90

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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.