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Finding the Fourth Proportional to 182.94, 274.46 and 74.75

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Solution

The fourth proportional to 182.94, 274.46 and 74.75 is: 112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.94 : 274.46 = 74.75 : x
  2. Step 2: Convert to fraction form
    182.94/274.46 = 74.75/x
  3. Step 3: Cross multiply
    182.94x = 274.46 × 74.75
  4. Step 4: Simplify right side
    182.94x = 20,514.14
  5. Step 5: Solve for x
    x = 20,514.14/182.94
  6. Step 6: Final answer
    x = 112.14

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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.