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Finding the Fourth Proportional to 496.22, 744.46 and 188.08

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Solution

The fourth proportional to 496.22, 744.46 and 188.08 is: 282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.22 : 744.46 = 188.08 : x
  2. Step 2: Convert to fraction form
    496.22/744.46 = 188.08/x
  3. Step 3: Cross multiply
    496.22x = 744.46 × 188.08
  4. Step 4: Simplify right side
    496.22x = 140,018.04
  5. Step 5: Solve for x
    x = 140,018.04/496.22
  6. Step 6: Final answer
    x = 282.17

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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.