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Finding the Fourth Proportional to 208.72, 313.09 and 64.43

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Solution

The fourth proportional to 208.72, 313.09 and 64.43 is: 96.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.72 : 313.09 = 64.43 : x
  2. Step 2: Convert to fraction form
    208.72/313.09 = 64.43/x
  3. Step 3: Cross multiply
    208.72x = 313.09 × 64.43
  4. Step 4: Simplify right side
    208.72x = 20,172.39
  5. Step 5: Solve for x
    x = 20,172.39/208.72
  6. Step 6: Final answer
    x = 96.65

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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.