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Finding the Fourth Proportional to 496.27, 744.20 and 188.07

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Solution

The fourth proportional to 496.27, 744.20 and 188.07 is: 282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.27 : 744.20 = 188.07 : x
  2. Step 2: Convert to fraction form
    496.27/744.20 = 188.07/x
  3. Step 3: Cross multiply
    496.27x = 744.20 × 188.07
  4. Step 4: Simplify right side
    496.27x = 139,957.97
  5. Step 5: Solve for x
    x = 139,957.97/496.27
  6. Step 6: Final answer
    x = 282.02

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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.