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Finding the Fourth Proportional to 175.96, 244.46 and 174.37

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Solution

The fourth proportional to 175.96, 244.46 and 174.37 is: 242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.96 : 244.46 = 174.37 : x
  2. Step 2: Convert to fraction form
    175.96/244.46 = 174.37/x
  3. Step 3: Cross multiply
    175.96x = 244.46 × 174.37
  4. Step 4: Simplify right side
    175.96x = 42,626.49
  5. Step 5: Solve for x
    x = 42,626.49/175.96
  6. Step 6: Final answer
    x = 242.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.