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Finding the Fourth Proportional to 356.86, 492.43 and 199.49

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Solution

The fourth proportional to 356.86, 492.43 and 199.49 is: 275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.86 : 492.43 = 199.49 : x
  2. Step 2: Convert to fraction form
    356.86/492.43 = 199.49/x
  3. Step 3: Cross multiply
    356.86x = 492.43 × 199.49
  4. Step 4: Simplify right side
    356.86x = 98,231.90
  5. Step 5: Solve for x
    x = 98,231.90/356.86
  6. Step 6: Final answer
    x = 275.27

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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.