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Finding the Fourth Proportional to 329.16, 493.50 and 199.26

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Solution

The fourth proportional to 329.16, 493.50 and 199.26 is: 298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.16 : 493.50 = 199.26 : x
  2. Step 2: Convert to fraction form
    329.16/493.50 = 199.26/x
  3. Step 3: Cross multiply
    329.16x = 493.50 × 199.26
  4. Step 4: Simplify right side
    329.16x = 98,334.81
  5. Step 5: Solve for x
    x = 98,334.81/329.16
  6. Step 6: Final answer
    x = 298.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.