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Finding the Fourth Proportional to 300.54, 414.90 and 184.17

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Solution

The fourth proportional to 300.54, 414.90 and 184.17 is: 254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.54 : 414.90 = 184.17 : x
  2. Step 2: Convert to fraction form
    300.54/414.90 = 184.17/x
  3. Step 3: Cross multiply
    300.54x = 414.90 × 184.17
  4. Step 4: Simplify right side
    300.54x = 76,412.13
  5. Step 5: Solve for x
    x = 76,412.13/300.54
  6. Step 6: Final answer
    x = 254.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.