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Finding the Fourth Proportional to 496.83, 745.14 and 172.23

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Solution

The fourth proportional to 496.83, 745.14 and 172.23 is: 258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.83 : 745.14 = 172.23 : x
  2. Step 2: Convert to fraction form
    496.83/745.14 = 172.23/x
  3. Step 3: Cross multiply
    496.83x = 745.14 × 172.23
  4. Step 4: Simplify right side
    496.83x = 128,335.46
  5. Step 5: Solve for x
    x = 128,335.46/496.83
  6. Step 6: Final answer
    x = 258.31

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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.