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Finding the Fourth Proportional to 345.52, 476.79 and 196.13

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Solution

The fourth proportional to 345.52, 476.79 and 196.13 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 476.79 = 196.13 : x
  2. Step 2: Convert to fraction form
    345.52/476.79 = 196.13/x
  3. Step 3: Cross multiply
    345.52x = 476.79 × 196.13
  4. Step 4: Simplify right side
    345.52x = 93,511.70
  5. Step 5: Solve for x
    x = 93,511.70/345.52
  6. Step 6: Final answer
    x = 270.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.