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Finding the Fourth Proportional to 311.99, 468.14 and 129.51

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Solution

The fourth proportional to 311.99, 468.14 and 129.51 is: 194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.99 : 468.14 = 129.51 : x
  2. Step 2: Convert to fraction form
    311.99/468.14 = 129.51/x
  3. Step 3: Cross multiply
    311.99x = 468.14 × 129.51
  4. Step 4: Simplify right side
    311.99x = 60,628.16
  5. Step 5: Solve for x
    x = 60,628.16/311.99
  6. Step 6: Final answer
    x = 194.33

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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.