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Finding the Fourth Proportional to 179.90, 268.41 and 160.41

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Solution

The fourth proportional to 179.90, 268.41 and 160.41 is: 239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.90 : 268.41 = 160.41 : x
  2. Step 2: Convert to fraction form
    179.90/268.41 = 160.41/x
  3. Step 3: Cross multiply
    179.90x = 268.41 × 160.41
  4. Step 4: Simplify right side
    179.90x = 43,055.65
  5. Step 5: Solve for x
    x = 43,055.65/179.90
  6. Step 6: Final answer
    x = 239.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.