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Finding the Fourth Proportional to 184.41, 254.47 and 104.65

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Solution

The fourth proportional to 184.41, 254.47 and 104.65 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.41 : 254.47 = 104.65 : x
  2. Step 2: Convert to fraction form
    184.41/254.47 = 104.65/x
  3. Step 3: Cross multiply
    184.41x = 254.47 × 104.65
  4. Step 4: Simplify right side
    184.41x = 26,630.29
  5. Step 5: Solve for x
    x = 26,630.29/184.41
  6. Step 6: Final answer
    x = 144.41

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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.