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Finding the Fourth Proportional to 194.82, 291.14 and 170.22

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Solution

The fourth proportional to 194.82, 291.14 and 170.22 is: 254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.82 : 291.14 = 170.22 : x
  2. Step 2: Convert to fraction form
    194.82/291.14 = 170.22/x
  3. Step 3: Cross multiply
    194.82x = 291.14 × 170.22
  4. Step 4: Simplify right side
    194.82x = 49,557.00
  5. Step 5: Solve for x
    x = 49,557.00/194.82
  6. Step 6: Final answer
    x = 254.37

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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.