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Finding the Fourth Proportional to 300.59, 414.82 and 184.16

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Solution

The fourth proportional to 300.59, 414.82 and 184.16 is: 254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.59 : 414.82 = 184.16 : x
  2. Step 2: Convert to fraction form
    300.59/414.82 = 184.16/x
  3. Step 3: Cross multiply
    300.59x = 414.82 × 184.16
  4. Step 4: Simplify right side
    300.59x = 76,391.93
  5. Step 5: Solve for x
    x = 76,391.93/300.59
  6. Step 6: Final answer
    x = 254.14

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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.