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Finding the Fourth Proportional to 356.00, 491.24 and 198.61

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Solution

The fourth proportional to 356.00, 491.24 and 198.61 is: 274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.00 : 491.24 = 198.61 : x
  2. Step 2: Convert to fraction form
    356.00/491.24 = 198.61/x
  3. Step 3: Cross multiply
    356.00x = 491.24 × 198.61
  4. Step 4: Simplify right side
    356.00x = 97,564.18
  5. Step 5: Solve for x
    x = 97,564.18/356.00
  6. Step 6: Final answer
    x = 274.06

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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.