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Finding the Fourth Proportional to 301.30, 415.56 and 184.84

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Solution

The fourth proportional to 301.30, 415.56 and 184.84 is: 254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.30 : 415.56 = 184.84 : x
  2. Step 2: Convert to fraction form
    301.30/415.56 = 184.84/x
  3. Step 3: Cross multiply
    301.30x = 415.56 × 184.84
  4. Step 4: Simplify right side
    301.30x = 76,812.11
  5. Step 5: Solve for x
    x = 76,812.11/301.30
  6. Step 6: Final answer
    x = 254.94

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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.