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Finding the Fourth Proportional to 208.96, 313.67 and 117.77

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Solution

The fourth proportional to 208.96, 313.67 and 117.77 is: 176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.96 : 313.67 = 117.77 : x
  2. Step 2: Convert to fraction form
    208.96/313.67 = 117.77/x
  3. Step 3: Cross multiply
    208.96x = 313.67 × 117.77
  4. Step 4: Simplify right side
    208.96x = 36,939.64
  5. Step 5: Solve for x
    x = 36,939.64/208.96
  6. Step 6: Final answer
    x = 176.78

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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.