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Finding the Fourth Proportional to 300.56, 414.77 and 201.08

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Solution

The fourth proportional to 300.56, 414.77 and 201.08 is: 277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 414.77 = 201.08 : x
  2. Step 2: Convert to fraction form
    300.56/414.77 = 201.08/x
  3. Step 3: Cross multiply
    300.56x = 414.77 × 201.08
  4. Step 4: Simplify right side
    300.56x = 83,403.11
  5. Step 5: Solve for x
    x = 83,403.11/300.56
  6. Step 6: Final answer
    x = 277.49

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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.