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Finding the Fourth Proportional to 290.13, 434.94 and 107.49

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Solution

The fourth proportional to 290.13, 434.94 and 107.49 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 434.94 = 107.49 : x
  2. Step 2: Convert to fraction form
    290.13/434.94 = 107.49/x
  3. Step 3: Cross multiply
    290.13x = 434.94 × 107.49
  4. Step 4: Simplify right side
    290.13x = 46,751.70
  5. Step 5: Solve for x
    x = 46,751.70/290.13
  6. Step 6: Final answer
    x = 161.14

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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.