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Finding the Fourth Proportional to 354.07, 488.61 and 198.82

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Solution

The fourth proportional to 354.07, 488.61 and 198.82 is: 274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.07 : 488.61 = 198.82 : x
  2. Step 2: Convert to fraction form
    354.07/488.61 = 198.82/x
  3. Step 3: Cross multiply
    354.07x = 488.61 × 198.82
  4. Step 4: Simplify right side
    354.07x = 97,144.22
  5. Step 5: Solve for x
    x = 97,144.22/354.07
  6. Step 6: Final answer
    x = 274.37

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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.