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Finding the Fourth Proportional to 194.99, 293.97 and 181.77

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Solution

The fourth proportional to 194.99, 293.97 and 181.77 is: 274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.99 : 293.97 = 181.77 : x
  2. Step 2: Convert to fraction form
    194.99/293.97 = 181.77/x
  3. Step 3: Cross multiply
    194.99x = 293.97 × 181.77
  4. Step 4: Simplify right side
    194.99x = 53,434.51
  5. Step 5: Solve for x
    x = 53,434.51/194.99
  6. Step 6: Final answer
    x = 274.04

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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.