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Finding the Fourth Proportional to 194.56, 293.53 and 183.94

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Solution

The fourth proportional to 194.56, 293.53 and 183.94 is: 277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.56 : 293.53 = 183.94 : x
  2. Step 2: Convert to fraction form
    194.56/293.53 = 183.94/x
  3. Step 3: Cross multiply
    194.56x = 293.53 × 183.94
  4. Step 4: Simplify right side
    194.56x = 53,991.91
  5. Step 5: Solve for x
    x = 53,991.91/194.56
  6. Step 6: Final answer
    x = 277.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.