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Finding the Fourth Proportional to 496.51, 744.73 and 131.29

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Solution

The fourth proportional to 496.51, 744.73 and 131.29 is: 196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.51 : 744.73 = 131.29 : x
  2. Step 2: Convert to fraction form
    496.51/744.73 = 131.29/x
  3. Step 3: Cross multiply
    496.51x = 744.73 × 131.29
  4. Step 4: Simplify right side
    496.51x = 97,775.60
  5. Step 5: Solve for x
    x = 97,775.60/496.51
  6. Step 6: Final answer
    x = 196.93

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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.