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Finding the Fourth Proportional to 356.41, 491.87 and 199.05

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Solution

The fourth proportional to 356.41, 491.87 and 199.05 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.41 : 491.87 = 199.05 : x
  2. Step 2: Convert to fraction form
    356.41/491.87 = 199.05/x
  3. Step 3: Cross multiply
    356.41x = 491.87 × 199.05
  4. Step 4: Simplify right side
    356.41x = 97,904.26
  5. Step 5: Solve for x
    x = 97,904.26/356.41
  6. Step 6: Final answer
    x = 274.69

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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.