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Finding the Fourth Proportional to 274.12, 411.20 and 127.84

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Solution

The fourth proportional to 274.12, 411.20 and 127.84 is: 191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 411.20 = 127.84 : x
  2. Step 2: Convert to fraction form
    274.12/411.20 = 127.84/x
  3. Step 3: Cross multiply
    274.12x = 411.20 × 127.84
  4. Step 4: Simplify right side
    274.12x = 52,567.81
  5. Step 5: Solve for x
    x = 52,567.81/274.12
  6. Step 6: Final answer
    x = 191.77

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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.