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Finding the Fourth Proportional to 199.60, 275.39 and 116.72

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Solution

The fourth proportional to 199.60, 275.39 and 116.72 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.60 : 275.39 = 116.72 : x
  2. Step 2: Convert to fraction form
    199.60/275.39 = 116.72/x
  3. Step 3: Cross multiply
    199.60x = 275.39 × 116.72
  4. Step 4: Simplify right side
    199.60x = 32,144.91
  5. Step 5: Solve for x
    x = 32,144.91/199.60
  6. Step 6: Final answer
    x = 161.05

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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.