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Finding the Fourth Proportional to 356.13, 491.42 and 198.74

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Solution

The fourth proportional to 356.13, 491.42 and 198.74 is: 274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.13 : 491.42 = 198.74 : x
  2. Step 2: Convert to fraction form
    356.13/491.42 = 198.74/x
  3. Step 3: Cross multiply
    356.13x = 491.42 × 198.74
  4. Step 4: Simplify right side
    356.13x = 97,664.81
  5. Step 5: Solve for x
    x = 97,664.81/356.13
  6. Step 6: Final answer
    x = 274.24

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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.