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Finding the Fourth Proportional to 208.92, 313.28 and 117.66

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Solution

The fourth proportional to 208.92, 313.28 and 117.66 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.92 : 313.28 = 117.66 : x
  2. Step 2: Convert to fraction form
    208.92/313.28 = 117.66/x
  3. Step 3: Cross multiply
    208.92x = 313.28 × 117.66
  4. Step 4: Simplify right side
    208.92x = 36,860.52
  5. Step 5: Solve for x
    x = 36,860.52/208.92
  6. Step 6: Final answer
    x = 176.43

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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.