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Finding the Fourth Proportional to 174.51, 263.41 and 174.51

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Solution

The fourth proportional to 174.51, 263.41 and 174.51 is: 263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.51 : 263.41 = 174.51 : x
  2. Step 2: Convert to fraction form
    174.51/263.41 = 174.51/x
  3. Step 3: Cross multiply
    174.51x = 263.41 × 174.51
  4. Step 4: Simplify right side
    174.51x = 45,967.68
  5. Step 5: Solve for x
    x = 45,967.68/174.51
  6. Step 6: Final answer
    x = 263.41

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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.