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Finding the Fourth Proportional to 209.15, 313.63 and 64.84

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Solution

The fourth proportional to 209.15, 313.63 and 64.84 is: 97.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.15 : 313.63 = 64.84 : x
  2. Step 2: Convert to fraction form
    209.15/313.63 = 64.84/x
  3. Step 3: Cross multiply
    209.15x = 313.63 × 64.84
  4. Step 4: Simplify right side
    209.15x = 20,335.77
  5. Step 5: Solve for x
    x = 20,335.77/209.15
  6. Step 6: Final answer
    x = 97.23

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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.