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Finding the Fourth Proportional to 300.11, 414.21 and 250.90

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Solution

The fourth proportional to 300.11, 414.21 and 250.90 is: 346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.11 : 414.21 = 250.90 : x
  2. Step 2: Convert to fraction form
    300.11/414.21 = 250.90/x
  3. Step 3: Cross multiply
    300.11x = 414.21 × 250.90
  4. Step 4: Simplify right side
    300.11x = 103,925.19
  5. Step 5: Solve for x
    x = 103,925.19/300.11
  6. Step 6: Final answer
    x = 346.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.