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Finding the Fourth Proportional to 194.96, 290.83 and 174.46

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Solution

The fourth proportional to 194.96, 290.83 and 174.46 is: 260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.96 : 290.83 = 174.46 : x
  2. Step 2: Convert to fraction form
    194.96/290.83 = 174.46/x
  3. Step 3: Cross multiply
    194.96x = 290.83 × 174.46
  4. Step 4: Simplify right side
    194.96x = 50,738.20
  5. Step 5: Solve for x
    x = 50,738.20/194.96
  6. Step 6: Final answer
    x = 260.25

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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.