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Finding the Fourth Proportional to 194.80, 291.60 and 160

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Solution

The fourth proportional to 194.80, 291.60 and 160 is: 239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.80 : 291.60 = 160 : x
  2. Step 2: Convert to fraction form
    194.80/291.60 = 160/x
  3. Step 3: Cross multiply
    194.80x = 291.60 × 160
  4. Step 4: Simplify right side
    194.80x = 46,656
  5. Step 5: Solve for x
    x = 46,656/194.80
  6. Step 6: Final answer
    x = 239.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.