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Finding the Fourth Proportional to 313.96, 471.02 and 118.96

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Solution

The fourth proportional to 313.96, 471.02 and 118.96 is: 178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 471.02 = 118.96 : x
  2. Step 2: Convert to fraction form
    313.96/471.02 = 118.96/x
  3. Step 3: Cross multiply
    313.96x = 471.02 × 118.96
  4. Step 4: Simplify right side
    313.96x = 56,033.43
  5. Step 5: Solve for x
    x = 56,033.43/313.96
  6. Step 6: Final answer
    x = 178.47

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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.