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Finding the Fourth Proportional to 339.71, 468.88 and 199.84

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Solution

The fourth proportional to 339.71, 468.88 and 199.84 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.71 : 468.88 = 199.84 : x
  2. Step 2: Convert to fraction form
    339.71/468.88 = 199.84/x
  3. Step 3: Cross multiply
    339.71x = 468.88 × 199.84
  4. Step 4: Simplify right side
    339.71x = 93,698.63
  5. Step 5: Solve for x
    x = 93,698.63/339.71
  6. Step 6: Final answer
    x = 275.82

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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.