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Finding the Fourth Proportional to 496.64, 744.94 and 188.56

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Solution

The fourth proportional to 496.64, 744.94 and 188.56 is: 282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.64 : 744.94 = 188.56 : x
  2. Step 2: Convert to fraction form
    496.64/744.94 = 188.56/x
  3. Step 3: Cross multiply
    496.64x = 744.94 × 188.56
  4. Step 4: Simplify right side
    496.64x = 140,465.89
  5. Step 5: Solve for x
    x = 140,465.89/496.64
  6. Step 6: Final answer
    x = 282.83

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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.