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Finding the Fourth Proportional to 353.84, 488.30 and 196.47

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Solution

The fourth proportional to 353.84, 488.30 and 196.47 is: 271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.84 : 488.30 = 196.47 : x
  2. Step 2: Convert to fraction form
    353.84/488.30 = 196.47/x
  3. Step 3: Cross multiply
    353.84x = 488.30 × 196.47
  4. Step 4: Simplify right side
    353.84x = 95,935.32
  5. Step 5: Solve for x
    x = 95,935.32/353.84
  6. Step 6: Final answer
    x = 271.13

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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.