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Finding the Fourth Proportional to 208.94, 313.38 and 64.62

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Solution

The fourth proportional to 208.94, 313.38 and 64.62 is: 96.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 313.38 = 64.62 : x
  2. Step 2: Convert to fraction form
    208.94/313.38 = 64.62/x
  3. Step 3: Cross multiply
    208.94x = 313.38 × 64.62
  4. Step 4: Simplify right side
    208.94x = 20,250.62
  5. Step 5: Solve for x
    x = 20,250.62/208.94
  6. Step 6: Final answer
    x = 96.92

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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.