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Finding the Fourth Proportional to 355.91, 491.13 and 198.56

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Solution

The fourth proportional to 355.91, 491.13 and 198.56 is: 274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.91 : 491.13 = 198.56 : x
  2. Step 2: Convert to fraction form
    355.91/491.13 = 198.56/x
  3. Step 3: Cross multiply
    355.91x = 491.13 × 198.56
  4. Step 4: Simplify right side
    355.91x = 97,518.77
  5. Step 5: Solve for x
    x = 97,518.77/355.91
  6. Step 6: Final answer
    x = 274.00

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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.