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Finding the Fourth Proportional to 339.94, 468.84 and 208.90

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Solution

The fourth proportional to 339.94, 468.84 and 208.90 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.94 : 468.84 = 208.90 : x
  2. Step 2: Convert to fraction form
    339.94/468.84 = 208.90/x
  3. Step 3: Cross multiply
    339.94x = 468.84 × 208.90
  4. Step 4: Simplify right side
    339.94x = 97,940.68
  5. Step 5: Solve for x
    x = 97,940.68/339.94
  6. Step 6: Final answer
    x = 288.11

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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.