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Finding the Fourth Proportional to 356.40, 491.83 and 199.02

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Solution

The fourth proportional to 356.40, 491.83 and 199.02 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 491.83 = 199.02 : x
  2. Step 2: Convert to fraction form
    356.40/491.83 = 199.02/x
  3. Step 3: Cross multiply
    356.40x = 491.83 × 199.02
  4. Step 4: Simplify right side
    356.40x = 97,884.68
  5. Step 5: Solve for x
    x = 97,884.68/356.40
  6. Step 6: Final answer
    x = 274.65

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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.