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Finding the Fourth Proportional to 346.30, 477.93 and 198.94

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Solution

The fourth proportional to 346.30, 477.93 and 198.94 is: 274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 477.93 = 198.94 : x
  2. Step 2: Convert to fraction form
    346.30/477.93 = 198.94/x
  3. Step 3: Cross multiply
    346.30x = 477.93 × 198.94
  4. Step 4: Simplify right side
    346.30x = 95,079.39
  5. Step 5: Solve for x
    x = 95,079.39/346.30
  6. Step 6: Final answer
    x = 274.56

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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.