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Finding the Fourth Proportional to 300.12, 414.23 and 202.02

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Solution

The fourth proportional to 300.12, 414.23 and 202.02 is: 278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.12 : 414.23 = 202.02 : x
  2. Step 2: Convert to fraction form
    300.12/414.23 = 202.02/x
  3. Step 3: Cross multiply
    300.12x = 414.23 × 202.02
  4. Step 4: Simplify right side
    300.12x = 83,681.73
  5. Step 5: Solve for x
    x = 83,681.73/300.12
  6. Step 6: Final answer
    x = 278.83

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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.