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Finding the Fourth Proportional to 318.09, 476.96 and 112.60

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Solution

The fourth proportional to 318.09, 476.96 and 112.60 is: 168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.09 : 476.96 = 112.60 : x
  2. Step 2: Convert to fraction form
    318.09/476.96 = 112.60/x
  3. Step 3: Cross multiply
    318.09x = 476.96 × 112.60
  4. Step 4: Simplify right side
    318.09x = 53,705.70
  5. Step 5: Solve for x
    x = 53,705.70/318.09
  6. Step 6: Final answer
    x = 168.84

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Why These Related Problems?

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