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Finding the Fourth Proportional to 339.74, 468.84 and 184.49

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Solution

The fourth proportional to 339.74, 468.84 and 184.49 is: 254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.74 : 468.84 = 184.49 : x
  2. Step 2: Convert to fraction form
    339.74/468.84 = 184.49/x
  3. Step 3: Cross multiply
    339.74x = 468.84 × 184.49
  4. Step 4: Simplify right side
    339.74x = 86,496.29
  5. Step 5: Solve for x
    x = 86,496.29/339.74
  6. Step 6: Final answer
    x = 254.60

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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.