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Finding the Fourth Proportional to 346.14, 477.73 and 198.83

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Solution

The fourth proportional to 346.14, 477.73 and 198.83 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.14 : 477.73 = 198.83 : x
  2. Step 2: Convert to fraction form
    346.14/477.73 = 198.83/x
  3. Step 3: Cross multiply
    346.14x = 477.73 × 198.83
  4. Step 4: Simplify right side
    346.14x = 94,984.17
  5. Step 5: Solve for x
    x = 94,984.17/346.14
  6. Step 6: Final answer
    x = 274.41

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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.