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Finding the Fourth Proportional to 346.29, 477.83 and 198.90

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Solution

The fourth proportional to 346.29, 477.83 and 198.90 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.29 : 477.83 = 198.90 : x
  2. Step 2: Convert to fraction form
    346.29/477.83 = 198.90/x
  3. Step 3: Cross multiply
    346.29x = 477.83 × 198.90
  4. Step 4: Simplify right side
    346.29x = 95,039.39
  5. Step 5: Solve for x
    x = 95,039.39/346.29
  6. Step 6: Final answer
    x = 274.45

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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.