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Finding the Fourth Proportional to 316.94, 475.43 and 100.52

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Solution

The fourth proportional to 316.94, 475.43 and 100.52 is: 150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.94 : 475.43 = 100.52 : x
  2. Step 2: Convert to fraction form
    316.94/475.43 = 100.52/x
  3. Step 3: Cross multiply
    316.94x = 475.43 × 100.52
  4. Step 4: Simplify right side
    316.94x = 47,791.66
  5. Step 5: Solve for x
    x = 47,791.66/316.94
  6. Step 6: Final answer
    x = 150.79

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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.