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Finding the Fourth Proportional to 302.94, 417.82 and 198.06

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Solution

The fourth proportional to 302.94, 417.82 and 198.06 is: 273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 417.82 = 198.06 : x
  2. Step 2: Convert to fraction form
    302.94/417.82 = 198.06/x
  3. Step 3: Cross multiply
    302.94x = 417.82 × 198.06
  4. Step 4: Simplify right side
    302.94x = 82,753.43
  5. Step 5: Solve for x
    x = 82,753.43/302.94
  6. Step 6: Final answer
    x = 273.17

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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.