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Finding the Fourth Proportional to 208.73, 313.10 and 117.43

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Solution

The fourth proportional to 208.73, 313.10 and 117.43 is: 176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.73 : 313.10 = 117.43 : x
  2. Step 2: Convert to fraction form
    208.73/313.10 = 117.43/x
  3. Step 3: Cross multiply
    208.73x = 313.10 × 117.43
  4. Step 4: Simplify right side
    208.73x = 36,767.33
  5. Step 5: Solve for x
    x = 36,767.33/208.73
  6. Step 6: Final answer
    x = 176.15

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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.