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Finding the Fourth Proportional to 208.97, 313.41 and 117.84

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Solution

The fourth proportional to 208.97, 313.41 and 117.84 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.97 : 313.41 = 117.84 : x
  2. Step 2: Convert to fraction form
    208.97/313.41 = 117.84/x
  3. Step 3: Cross multiply
    208.97x = 313.41 × 117.84
  4. Step 4: Simplify right side
    208.97x = 36,932.23
  5. Step 5: Solve for x
    x = 36,932.23/208.97
  6. Step 6: Final answer
    x = 176.74

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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.