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Finding the Fourth Proportional to 194.80, 268.76 and 160.08

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Solution

The fourth proportional to 194.80, 268.76 and 160.08 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.80 : 268.76 = 160.08 : x
  2. Step 2: Convert to fraction form
    194.80/268.76 = 160.08/x
  3. Step 3: Cross multiply
    194.80x = 268.76 × 160.08
  4. Step 4: Simplify right side
    194.80x = 43,023.10
  5. Step 5: Solve for x
    x = 43,023.10/194.80
  6. Step 6: Final answer
    x = 220.86

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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.