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Finding the Fourth Proportional to 345.49, 476.86 and 198.21

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Solution

The fourth proportional to 345.49, 476.86 and 198.21 is: 273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.49 : 476.86 = 198.21 : x
  2. Step 2: Convert to fraction form
    345.49/476.86 = 198.21/x
  3. Step 3: Cross multiply
    345.49x = 476.86 × 198.21
  4. Step 4: Simplify right side
    345.49x = 94,517.93
  5. Step 5: Solve for x
    x = 94,517.93/345.49
  6. Step 6: Final answer
    x = 273.58

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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.