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Finding the Fourth Proportional to 300.93, 414.55 and 251.11

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Solution

The fourth proportional to 300.93, 414.55 and 251.11 is: 345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.93 : 414.55 = 251.11 : x
  2. Step 2: Convert to fraction form
    300.93/414.55 = 251.11/x
  3. Step 3: Cross multiply
    300.93x = 414.55 × 251.11
  4. Step 4: Simplify right side
    300.93x = 104,097.65
  5. Step 5: Solve for x
    x = 104,097.65/300.93
  6. Step 6: Final answer
    x = 345.92

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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.