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Finding the Fourth Proportional to 274.30, 411.47 and 100.94

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Solution

The fourth proportional to 274.30, 411.47 and 100.94 is: 151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 411.47 = 100.94 : x
  2. Step 2: Convert to fraction form
    274.30/411.47 = 100.94/x
  3. Step 3: Cross multiply
    274.30x = 411.47 × 100.94
  4. Step 4: Simplify right side
    274.30x = 41,533.28
  5. Step 5: Solve for x
    x = 41,533.28/274.30
  6. Step 6: Final answer
    x = 151.42

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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.