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Finding the Fourth Proportional to 174.35, 262.14 and 171.32

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Solution

The fourth proportional to 174.35, 262.14 and 171.32 is: 257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.35 : 262.14 = 171.32 : x
  2. Step 2: Convert to fraction form
    174.35/262.14 = 171.32/x
  3. Step 3: Cross multiply
    174.35x = 262.14 × 171.32
  4. Step 4: Simplify right side
    174.35x = 44,907.87
  5. Step 5: Solve for x
    x = 44,907.87/174.35
  6. Step 6: Final answer
    x = 257.57

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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.