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Finding the Fourth Proportional to 346.29, 477.82 and 198.93

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Solution

The fourth proportional to 346.29, 477.82 and 198.93 is: 274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.29 : 477.82 = 198.93 : x
  2. Step 2: Convert to fraction form
    346.29/477.82 = 198.93/x
  3. Step 3: Cross multiply
    346.29x = 477.82 × 198.93
  4. Step 4: Simplify right side
    346.29x = 95,053.93
  5. Step 5: Solve for x
    x = 95,053.93/346.29
  6. Step 6: Final answer
    x = 274.49

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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.