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Finding the Fourth Proportional to 194.83, 292.24 and 182.95

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Solution

The fourth proportional to 194.83, 292.24 and 182.95 is: 274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.83 : 292.24 = 182.95 : x
  2. Step 2: Convert to fraction form
    194.83/292.24 = 182.95/x
  3. Step 3: Cross multiply
    194.83x = 292.24 × 182.95
  4. Step 4: Simplify right side
    194.83x = 53,465.63
  5. Step 5: Solve for x
    x = 53,465.63/194.83
  6. Step 6: Final answer
    x = 274.42

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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.