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Finding the Fourth Proportional to 496.92, 745.46 and 172.20

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Solution

The fourth proportional to 496.92, 745.46 and 172.20 is: 258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.92 : 745.46 = 172.20 : x
  2. Step 2: Convert to fraction form
    496.92/745.46 = 172.20/x
  3. Step 3: Cross multiply
    496.92x = 745.46 × 172.20
  4. Step 4: Simplify right side
    496.92x = 128,368.21
  5. Step 5: Solve for x
    x = 128,368.21/496.92
  6. Step 6: Final answer
    x = 258.33

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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.