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Finding the Fourth Proportional to 208.96, 313.61 and 168.64

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Solution

The fourth proportional to 208.96, 313.61 and 168.64 is: 253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.96 : 313.61 = 168.64 : x
  2. Step 2: Convert to fraction form
    208.96/313.61 = 168.64/x
  3. Step 3: Cross multiply
    208.96x = 313.61 × 168.64
  4. Step 4: Simplify right side
    208.96x = 52,885.56
  5. Step 5: Solve for x
    x = 52,885.56/208.96
  6. Step 6: Final answer
    x = 253.09

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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.