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Finding the Fourth Proportional to 355.88, 491.10 and 198.51

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Solution

The fourth proportional to 355.88, 491.10 and 198.51 is: 273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.88 : 491.10 = 198.51 : x
  2. Step 2: Convert to fraction form
    355.88/491.10 = 198.51/x
  3. Step 3: Cross multiply
    355.88x = 491.10 × 198.51
  4. Step 4: Simplify right side
    355.88x = 97,488.26
  5. Step 5: Solve for x
    x = 97,488.26/355.88
  6. Step 6: Final answer
    x = 273.94

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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.