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Finding the Fourth Proportional to 290.07, 434.83 and 107.41

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Solution

The fourth proportional to 290.07, 434.83 and 107.41 is: 161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.07 : 434.83 = 107.41 : x
  2. Step 2: Convert to fraction form
    290.07/434.83 = 107.41/x
  3. Step 3: Cross multiply
    290.07x = 434.83 × 107.41
  4. Step 4: Simplify right side
    290.07x = 46,705.09
  5. Step 5: Solve for x
    x = 46,705.09/290.07
  6. Step 6: Final answer
    x = 161.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.