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Finding the Fourth Proportional to 174.08, 262.56 and 166.88

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Solution

The fourth proportional to 174.08, 262.56 and 166.88 is: 251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.08 : 262.56 = 166.88 : x
  2. Step 2: Convert to fraction form
    174.08/262.56 = 166.88/x
  3. Step 3: Cross multiply
    174.08x = 262.56 × 166.88
  4. Step 4: Simplify right side
    174.08x = 43,816.01
  5. Step 5: Solve for x
    x = 43,816.01/174.08
  6. Step 6: Final answer
    x = 251.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.