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Finding the Fourth Proportional to 339.86, 469.01 and 198.02

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Solution

The fourth proportional to 339.86, 469.01 and 198.02 is: 273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.86 : 469.01 = 198.02 : x
  2. Step 2: Convert to fraction form
    339.86/469.01 = 198.02/x
  3. Step 3: Cross multiply
    339.86x = 469.01 × 198.02
  4. Step 4: Simplify right side
    339.86x = 92,875.03
  5. Step 5: Solve for x
    x = 92,875.03/339.86
  6. Step 6: Final answer
    x = 273.27

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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.