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Finding the Fourth Proportional to 199.89, 275.79 and 117

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Solution

The fourth proportional to 199.89, 275.79 and 117 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.89 : 275.79 = 117 : x
  2. Step 2: Convert to fraction form
    199.89/275.79 = 117/x
  3. Step 3: Cross multiply
    199.89x = 275.79 × 117
  4. Step 4: Simplify right side
    199.89x = 32,267.43
  5. Step 5: Solve for x
    x = 32,267.43/199.89
  6. Step 6: Final answer
    x = 161.43

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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.