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Finding the Fourth Proportional to 356.26, 491.60 and 198.90

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Solution

The fourth proportional to 356.26, 491.60 and 198.90 is: 274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.26 : 491.60 = 198.90 : x
  2. Step 2: Convert to fraction form
    356.26/491.60 = 198.90/x
  3. Step 3: Cross multiply
    356.26x = 491.60 × 198.90
  4. Step 4: Simplify right side
    356.26x = 97,781.25
  5. Step 5: Solve for x
    x = 97,781.25/356.26
  6. Step 6: Final answer
    x = 274.46

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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.