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Finding the Fourth Proportional to 199.59, 275.46 and 116.67

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Solution

The fourth proportional to 199.59, 275.46 and 116.67 is: 161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.59 : 275.46 = 116.67 : x
  2. Step 2: Convert to fraction form
    199.59/275.46 = 116.67/x
  3. Step 3: Cross multiply
    199.59x = 275.46 × 116.67
  4. Step 4: Simplify right side
    199.59x = 32,137.92
  5. Step 5: Solve for x
    x = 32,137.92/199.59
  6. Step 6: Final answer
    x = 161.02

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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.