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Finding the Fourth Proportional to 301.34, 415.68 and 184.88

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Solution

The fourth proportional to 301.34, 415.68 and 184.88 is: 255.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.34 : 415.68 = 184.88 : x
  2. Step 2: Convert to fraction form
    301.34/415.68 = 184.88/x
  3. Step 3: Cross multiply
    301.34x = 415.68 × 184.88
  4. Step 4: Simplify right side
    301.34x = 76,850.92
  5. Step 5: Solve for x
    x = 76,850.92/301.34
  6. Step 6: Final answer
    x = 255.03

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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.