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Finding the Fourth Proportional to 322.93, 445.65 and 198.66

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Solution

The fourth proportional to 322.93, 445.65 and 198.66 is: 274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.93 : 445.65 = 198.66 : x
  2. Step 2: Convert to fraction form
    322.93/445.65 = 198.66/x
  3. Step 3: Cross multiply
    322.93x = 445.65 × 198.66
  4. Step 4: Simplify right side
    322.93x = 88,534.04
  5. Step 5: Solve for x
    x = 88,534.04/322.93
  6. Step 6: Final answer
    x = 274.16

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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.