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Finding the Fourth Proportional to 339.66, 468.73 and 184.41

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Solution

The fourth proportional to 339.66, 468.73 and 184.41 is: 254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 468.73 = 184.41 : x
  2. Step 2: Convert to fraction form
    339.66/468.73 = 184.41/x
  3. Step 3: Cross multiply
    339.66x = 468.73 × 184.41
  4. Step 4: Simplify right side
    339.66x = 86,437.58
  5. Step 5: Solve for x
    x = 86,437.58/339.66
  6. Step 6: Final answer
    x = 254.48

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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.