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Finding the Fourth Proportional to 199.69, 275.56 and 116.83

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Solution

The fourth proportional to 199.69, 275.56 and 116.83 is: 161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 275.56 = 116.83 : x
  2. Step 2: Convert to fraction form
    199.69/275.56 = 116.83/x
  3. Step 3: Cross multiply
    199.69x = 275.56 × 116.83
  4. Step 4: Simplify right side
    199.69x = 32,193.67
  5. Step 5: Solve for x
    x = 32,193.67/199.69
  6. Step 6: Final answer
    x = 161.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.