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Finding the Fourth Proportional to 311.69, 430.10 and 178.95

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Solution

The fourth proportional to 311.69, 430.10 and 178.95 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.69 : 430.10 = 178.95 : x
  2. Step 2: Convert to fraction form
    311.69/430.10 = 178.95/x
  3. Step 3: Cross multiply
    311.69x = 430.10 × 178.95
  4. Step 4: Simplify right side
    311.69x = 76,967.78
  5. Step 5: Solve for x
    x = 76,967.78/311.69
  6. Step 6: Final answer
    x = 246.93

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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.