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Finding the Fourth Proportional to 300.17, 414.57 and 201.76

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Solution

The fourth proportional to 300.17, 414.57 and 201.76 is: 278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.17 : 414.57 = 201.76 : x
  2. Step 2: Convert to fraction form
    300.17/414.57 = 201.76/x
  3. Step 3: Cross multiply
    300.17x = 414.57 × 201.76
  4. Step 4: Simplify right side
    300.17x = 83,642.23
  5. Step 5: Solve for x
    x = 83,642.23/300.17
  6. Step 6: Final answer
    x = 278.65

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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.