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Finding the Fourth Proportional to 339.40, 468.27 and 199.50

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Solution

The fourth proportional to 339.40, 468.27 and 199.50 is: 275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.40 : 468.27 = 199.50 : x
  2. Step 2: Convert to fraction form
    339.40/468.27 = 199.50/x
  3. Step 3: Cross multiply
    339.40x = 468.27 × 199.50
  4. Step 4: Simplify right side
    339.40x = 93,419.87
  5. Step 5: Solve for x
    x = 93,419.87/339.40
  6. Step 6: Final answer
    x = 275.25

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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.