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Finding the Fourth Proportional to 355.79, 491.02 and 198.48

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Solution

The fourth proportional to 355.79, 491.02 and 198.48 is: 273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.79 : 491.02 = 198.48 : x
  2. Step 2: Convert to fraction form
    355.79/491.02 = 198.48/x
  3. Step 3: Cross multiply
    355.79x = 491.02 × 198.48
  4. Step 4: Simplify right side
    355.79x = 97,455.19
  5. Step 5: Solve for x
    x = 97,455.19/355.79
  6. Step 6: Final answer
    x = 273.91

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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.