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Finding the Fourth Proportional to 290.45, 435.78 and 107.87

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Solution

The fourth proportional to 290.45, 435.78 and 107.87 is: 161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.45 : 435.78 = 107.87 : x
  2. Step 2: Convert to fraction form
    290.45/435.78 = 107.87/x
  3. Step 3: Cross multiply
    290.45x = 435.78 × 107.87
  4. Step 4: Simplify right side
    290.45x = 47,005.41
  5. Step 5: Solve for x
    x = 47,005.41/290.45
  6. Step 6: Final answer
    x = 161.84

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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.