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Finding the Fourth Proportional to 500.92, 751.09 and 171.75

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Solution

The fourth proportional to 500.92, 751.09 and 171.75 is: 257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.92 : 751.09 = 171.75 : x
  2. Step 2: Convert to fraction form
    500.92/751.09 = 171.75/x
  3. Step 3: Cross multiply
    500.92x = 751.09 × 171.75
  4. Step 4: Simplify right side
    500.92x = 128,995.09
  5. Step 5: Solve for x
    x = 128,995.09/500.92
  6. Step 6: Final answer
    x = 257.52

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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.