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Finding the Fourth Proportional to 194.45, 267.14 and 174.00

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Solution

The fourth proportional to 194.45, 267.14 and 174.00 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.45 : 267.14 = 174.00 : x
  2. Step 2: Convert to fraction form
    194.45/267.14 = 174.00/x
  3. Step 3: Cross multiply
    194.45x = 267.14 × 174.00
  4. Step 4: Simplify right side
    194.45x = 46,480.59
  5. Step 5: Solve for x
    x = 46,480.59/194.45
  6. Step 6: Final answer
    x = 239.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.