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Finding the Fourth Proportional to 339.69, 468.81 and 199.81

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Solution

The fourth proportional to 339.69, 468.81 and 199.81 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.69 : 468.81 = 199.81 : x
  2. Step 2: Convert to fraction form
    339.69/468.81 = 199.81/x
  3. Step 3: Cross multiply
    339.69x = 468.81 × 199.81
  4. Step 4: Simplify right side
    339.69x = 93,673.51
  5. Step 5: Solve for x
    x = 93,673.51/339.69
  6. Step 6: Final answer
    x = 275.76

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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.