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Finding the Fourth Proportional to 209.13, 313.64 and 77.34

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Solution

The fourth proportional to 209.13, 313.64 and 77.34 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.13 : 313.64 = 77.34 : x
  2. Step 2: Convert to fraction form
    209.13/313.64 = 77.34/x
  3. Step 3: Cross multiply
    209.13x = 313.64 × 77.34
  4. Step 4: Simplify right side
    209.13x = 24,258.00
  5. Step 5: Solve for x
    x = 24,258.00/209.13
  6. Step 6: Final answer
    x = 115.99

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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.