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Finding the Fourth Proportional to 209.01, 313.50 and 54.94

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Solution

The fourth proportional to 209.01, 313.50 and 54.94 is: 82.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.01 : 313.50 = 54.94 : x
  2. Step 2: Convert to fraction form
    209.01/313.50 = 54.94/x
  3. Step 3: Cross multiply
    209.01x = 313.50 × 54.94
  4. Step 4: Simplify right side
    209.01x = 17,223.69
  5. Step 5: Solve for x
    x = 17,223.69/209.01
  6. Step 6: Final answer
    x = 82.41

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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.