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Finding the Fourth Proportional to 343.07, 473.46 and 195.74

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Solution

The fourth proportional to 343.07, 473.46 and 195.74 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.07 : 473.46 = 195.74 : x
  2. Step 2: Convert to fraction form
    343.07/473.46 = 195.74/x
  3. Step 3: Cross multiply
    343.07x = 473.46 × 195.74
  4. Step 4: Simplify right side
    343.07x = 92,674.84
  5. Step 5: Solve for x
    x = 92,674.84/343.07
  6. Step 6: Final answer
    x = 270.13

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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.