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Finding the Fourth Proportional to 300.63, 415.07 and 184.39

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Solution

The fourth proportional to 300.63, 415.07 and 184.39 is: 254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.63 : 415.07 = 184.39 : x
  2. Step 2: Convert to fraction form
    300.63/415.07 = 184.39/x
  3. Step 3: Cross multiply
    300.63x = 415.07 × 184.39
  4. Step 4: Simplify right side
    300.63x = 76,534.76
  5. Step 5: Solve for x
    x = 76,534.76/300.63
  6. Step 6: Final answer
    x = 254.58

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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.