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Finding the Fourth Proportional to 343.48, 473.94 and 194.10

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Solution

The fourth proportional to 343.48, 473.94 and 194.10 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.48 : 473.94 = 194.10 : x
  2. Step 2: Convert to fraction form
    343.48/473.94 = 194.10/x
  3. Step 3: Cross multiply
    343.48x = 473.94 × 194.10
  4. Step 4: Simplify right side
    343.48x = 91,991.75
  5. Step 5: Solve for x
    x = 91,991.75/343.48
  6. Step 6: Final answer
    x = 267.82

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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.