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Finding the Fourth Proportional to 314.50, 434.04 and 198.04

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Solution

The fourth proportional to 314.50, 434.04 and 198.04 is: 273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.50 : 434.04 = 198.04 : x
  2. Step 2: Convert to fraction form
    314.50/434.04 = 198.04/x
  3. Step 3: Cross multiply
    314.50x = 434.04 × 198.04
  4. Step 4: Simplify right side
    314.50x = 85,957.28
  5. Step 5: Solve for x
    x = 85,957.28/314.50
  6. Step 6: Final answer
    x = 273.31

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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.