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Finding the Fourth Proportional to 339.59, 468.54 and 199.69

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Solution

The fourth proportional to 339.59, 468.54 and 199.69 is: 275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.59 : 468.54 = 199.69 : x
  2. Step 2: Convert to fraction form
    339.59/468.54 = 199.69/x
  3. Step 3: Cross multiply
    339.59x = 468.54 × 199.69
  4. Step 4: Simplify right side
    339.59x = 93,564.09
  5. Step 5: Solve for x
    x = 93,564.09/339.59
  6. Step 6: Final answer
    x = 275.52

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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.