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Finding the Fourth Proportional to 356.25, 491.62 and 198.88

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Solution

The fourth proportional to 356.25, 491.62 and 198.88 is: 274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.25 : 491.62 = 198.88 : x
  2. Step 2: Convert to fraction form
    356.25/491.62 = 198.88/x
  3. Step 3: Cross multiply
    356.25x = 491.62 × 198.88
  4. Step 4: Simplify right side
    356.25x = 97,771.18
  5. Step 5: Solve for x
    x = 97,771.18/356.25
  6. Step 6: Final answer
    x = 274.44

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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.