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Finding the Fourth Proportional to 300.54, 414.36 and 202.08

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Solution

The fourth proportional to 300.54, 414.36 and 202.08 is: 278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.54 : 414.36 = 202.08 : x
  2. Step 2: Convert to fraction form
    300.54/414.36 = 202.08/x
  3. Step 3: Cross multiply
    300.54x = 414.36 × 202.08
  4. Step 4: Simplify right side
    300.54x = 83,733.87
  5. Step 5: Solve for x
    x = 83,733.87/300.54
  6. Step 6: Final answer
    x = 278.61

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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.