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Finding the Fourth Proportional to 311.30, 429.58 and 186.97

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Solution

The fourth proportional to 311.30, 429.58 and 186.97 is: 258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.30 : 429.58 = 186.97 : x
  2. Step 2: Convert to fraction form
    311.30/429.58 = 186.97/x
  3. Step 3: Cross multiply
    311.30x = 429.58 × 186.97
  4. Step 4: Simplify right side
    311.30x = 80,318.57
  5. Step 5: Solve for x
    x = 80,318.57/311.30
  6. Step 6: Final answer
    x = 258.01

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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.