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Finding the Fourth Proportional to 300.57, 414.80 and 184.11

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Solution

The fourth proportional to 300.57, 414.80 and 184.11 is: 254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.57 : 414.80 = 184.11 : x
  2. Step 2: Convert to fraction form
    300.57/414.80 = 184.11/x
  3. Step 3: Cross multiply
    300.57x = 414.80 × 184.11
  4. Step 4: Simplify right side
    300.57x = 76,367.91
  5. Step 5: Solve for x
    x = 76,367.91/300.57
  6. Step 6: Final answer
    x = 254.08

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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.