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Finding the Fourth Proportional to 356.69, 492.11 and 199.29

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Solution

The fourth proportional to 356.69, 492.11 and 199.29 is: 274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.69 : 492.11 = 199.29 : x
  2. Step 2: Convert to fraction form
    356.69/492.11 = 199.29/x
  3. Step 3: Cross multiply
    356.69x = 492.11 × 199.29
  4. Step 4: Simplify right side
    356.69x = 98,071.61
  5. Step 5: Solve for x
    x = 98,071.61/356.69
  6. Step 6: Final answer
    x = 274.95

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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.