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Finding the Fourth Proportional to 347.37, 479.35 and 198

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Solution

The fourth proportional to 347.37, 479.35 and 198 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.37 : 479.35 = 198 : x
  2. Step 2: Convert to fraction form
    347.37/479.35 = 198/x
  3. Step 3: Cross multiply
    347.37x = 479.35 × 198
  4. Step 4: Simplify right side
    347.37x = 94,911.30
  5. Step 5: Solve for x
    x = 94,911.30/347.37
  6. Step 6: Final answer
    x = 273.23

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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.