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Finding the Fourth Proportional to 316.69, 474.89 and 186.95

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Solution

The fourth proportional to 316.69, 474.89 and 186.95 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.69 : 474.89 = 186.95 : x
  2. Step 2: Convert to fraction form
    316.69/474.89 = 186.95/x
  3. Step 3: Cross multiply
    316.69x = 474.89 × 186.95
  4. Step 4: Simplify right side
    316.69x = 88,778.78
  5. Step 5: Solve for x
    x = 88,778.78/316.69
  6. Step 6: Final answer
    x = 280.34

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