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Finding the Fourth Proportional to 300.52, 414.70 and 184.12

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Solution

The fourth proportional to 300.52, 414.70 and 184.12 is: 254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.52 : 414.70 = 184.12 : x
  2. Step 2: Convert to fraction form
    300.52/414.70 = 184.12/x
  3. Step 3: Cross multiply
    300.52x = 414.70 × 184.12
  4. Step 4: Simplify right side
    300.52x = 76,354.56
  5. Step 5: Solve for x
    x = 76,354.56/300.52
  6. Step 6: Final answer
    x = 254.07

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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.