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Finding the Fourth Proportional to 174.40, 262.08 and 116.80

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Solution

The fourth proportional to 174.40, 262.08 and 116.80 is: 175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.40 : 262.08 = 116.80 : x
  2. Step 2: Convert to fraction form
    174.40/262.08 = 116.80/x
  3. Step 3: Cross multiply
    174.40x = 262.08 × 116.80
  4. Step 4: Simplify right side
    174.40x = 30,610.94
  5. Step 5: Solve for x
    x = 30,610.94/174.40
  6. Step 6: Final answer
    x = 175.52

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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.