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Finding the Fourth Proportional to 356.69, 492.23 and 199.31

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Solution

The fourth proportional to 356.69, 492.23 and 199.31 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.69 : 492.23 = 199.31 : x
  2. Step 2: Convert to fraction form
    356.69/492.23 = 199.31/x
  3. Step 3: Cross multiply
    356.69x = 492.23 × 199.31
  4. Step 4: Simplify right side
    356.69x = 98,106.97
  5. Step 5: Solve for x
    x = 98,106.97/356.69
  6. Step 6: Final answer
    x = 275.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.