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Finding the Fourth Proportional to 343.22, 473.64 and 195.86

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Solution

The fourth proportional to 343.22, 473.64 and 195.86 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.22 : 473.64 = 195.86 : x
  2. Step 2: Convert to fraction form
    343.22/473.64 = 195.86/x
  3. Step 3: Cross multiply
    343.22x = 473.64 × 195.86
  4. Step 4: Simplify right side
    343.22x = 92,767.13
  5. Step 5: Solve for x
    x = 92,767.13/343.22
  6. Step 6: Final answer
    x = 270.28

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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.