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Finding the Fourth Proportional to 354.16, 488.73 and 196.81

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Solution

The fourth proportional to 354.16, 488.73 and 196.81 is: 271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.16 : 488.73 = 196.81 : x
  2. Step 2: Convert to fraction form
    354.16/488.73 = 196.81/x
  3. Step 3: Cross multiply
    354.16x = 488.73 × 196.81
  4. Step 4: Simplify right side
    354.16x = 96,186.47
  5. Step 5: Solve for x
    x = 96,186.47/354.16
  6. Step 6: Final answer
    x = 271.59

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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.