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Finding the Fourth Proportional to 274, 378.14 and 182.16

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Solution

The fourth proportional to 274, 378.14 and 182.16 is: 251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274 : 378.14 = 182.16 : x
  2. Step 2: Convert to fraction form
    274/378.14 = 182.16/x
  3. Step 3: Cross multiply
    274x = 378.14 × 182.16
  4. Step 4: Simplify right side
    274x = 68,881.98
  5. Step 5: Solve for x
    x = 68,881.98/274
  6. Step 6: Final answer
    x = 251.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.