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Finding the Fourth Proportional to 195.83, 291.97 and 184.22

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Solution

The fourth proportional to 195.83, 291.97 and 184.22 is: 274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.83 : 291.97 = 184.22 : x
  2. Step 2: Convert to fraction form
    195.83/291.97 = 184.22/x
  3. Step 3: Cross multiply
    195.83x = 291.97 × 184.22
  4. Step 4: Simplify right side
    195.83x = 53,786.71
  5. Step 5: Solve for x
    x = 53,786.71/195.83
  6. Step 6: Final answer
    x = 274.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.