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Finding the Fourth Proportional to 174.56, 262.04 and 136.08

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Solution

The fourth proportional to 174.56, 262.04 and 136.08 is: 204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.56 : 262.04 = 136.08 : x
  2. Step 2: Convert to fraction form
    174.56/262.04 = 136.08/x
  3. Step 3: Cross multiply
    174.56x = 262.04 × 136.08
  4. Step 4: Simplify right side
    174.56x = 35,657.72
  5. Step 5: Solve for x
    x = 35,657.72/174.56
  6. Step 6: Final answer
    x = 204.28

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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.