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Finding the Fourth Proportional to 346.16, 477.66 and 196.79

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Solution

The fourth proportional to 346.16, 477.66 and 196.79 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.16 : 477.66 = 196.79 : x
  2. Step 2: Convert to fraction form
    346.16/477.66 = 196.79/x
  3. Step 3: Cross multiply
    346.16x = 477.66 × 196.79
  4. Step 4: Simplify right side
    346.16x = 93,996.32
  5. Step 5: Solve for x
    x = 93,996.32/346.16
  6. Step 6: Final answer
    x = 271.54

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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.