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Finding the Fourth Proportional to 190.24, 262.56 and 174.08

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Solution

The fourth proportional to 190.24, 262.56 and 174.08 is: 240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 262.56 = 174.08 : x
  2. Step 2: Convert to fraction form
    190.24/262.56 = 174.08/x
  3. Step 3: Cross multiply
    190.24x = 262.56 × 174.08
  4. Step 4: Simplify right side
    190.24x = 45,706.44
  5. Step 5: Solve for x
    x = 45,706.44/190.24
  6. Step 6: Final answer
    x = 240.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.