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Finding the Fourth Proportional to 316.20, 474.42 and 123.96

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Solution

The fourth proportional to 316.20, 474.42 and 123.96 is: 185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.20 : 474.42 = 123.96 : x
  2. Step 2: Convert to fraction form
    316.20/474.42 = 123.96/x
  3. Step 3: Cross multiply
    316.20x = 474.42 × 123.96
  4. Step 4: Simplify right side
    316.20x = 58,809.10
  5. Step 5: Solve for x
    x = 58,809.10/316.20
  6. Step 6: Final answer
    x = 185.99

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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.