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Finding the Fourth Proportional to 301.04, 415.08 and 184.40

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Solution

The fourth proportional to 301.04, 415.08 and 184.40 is: 254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.04 : 415.08 = 184.40 : x
  2. Step 2: Convert to fraction form
    301.04/415.08 = 184.40/x
  3. Step 3: Cross multiply
    301.04x = 415.08 × 184.40
  4. Step 4: Simplify right side
    301.04x = 76,540.75
  5. Step 5: Solve for x
    x = 76,540.75/301.04
  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.