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Finding the Fourth Proportional to 339.81, 468.94 and 184.56

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Solution

The fourth proportional to 339.81, 468.94 and 184.56 is: 254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.81 : 468.94 = 184.56 : x
  2. Step 2: Convert to fraction form
    339.81/468.94 = 184.56/x
  3. Step 3: Cross multiply
    339.81x = 468.94 × 184.56
  4. Step 4: Simplify right side
    339.81x = 86,548.97
  5. Step 5: Solve for x
    x = 86,548.97/339.81
  6. Step 6: Final answer
    x = 254.70

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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.