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Finding the Fourth Proportional to 209.25, 313.91 and 64.94

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Solution

The fourth proportional to 209.25, 313.91 and 64.94 is: 97.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 313.91 = 64.94 : x
  2. Step 2: Convert to fraction form
    209.25/313.91 = 64.94/x
  3. Step 3: Cross multiply
    209.25x = 313.91 × 64.94
  4. Step 4: Simplify right side
    209.25x = 20,385.32
  5. Step 5: Solve for x
    x = 20,385.32/209.25
  6. Step 6: Final answer
    x = 97.42

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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.