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Finding the Fourth Proportional to 345.52, 476.82 and 198.17

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Solution

The fourth proportional to 345.52, 476.82 and 198.17 is: 273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 476.82 = 198.17 : x
  2. Step 2: Convert to fraction form
    345.52/476.82 = 198.17/x
  3. Step 3: Cross multiply
    345.52x = 476.82 × 198.17
  4. Step 4: Simplify right side
    345.52x = 94,491.42
  5. Step 5: Solve for x
    x = 94,491.42/345.52
  6. Step 6: Final answer
    x = 273.48

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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.