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Finding the Fourth Proportional to 274.90, 412.42 and 138.02

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Solution

The fourth proportional to 274.90, 412.42 and 138.02 is: 207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.90 : 412.42 = 138.02 : x
  2. Step 2: Convert to fraction form
    274.90/412.42 = 138.02/x
  3. Step 3: Cross multiply
    274.90x = 412.42 × 138.02
  4. Step 4: Simplify right side
    274.90x = 56,922.21
  5. Step 5: Solve for x
    x = 56,922.21/274.90
  6. Step 6: Final answer
    x = 207.07

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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.