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Finding the Fourth Proportional to 482.44, 723.72 and 157.84

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Solution

The fourth proportional to 482.44, 723.72 and 157.84 is: 236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.44 : 723.72 = 157.84 : x
  2. Step 2: Convert to fraction form
    482.44/723.72 = 157.84/x
  3. Step 3: Cross multiply
    482.44x = 723.72 × 157.84
  4. Step 4: Simplify right side
    482.44x = 114,231.96
  5. Step 5: Solve for x
    x = 114,231.96/482.44
  6. Step 6: Final answer
    x = 236.78

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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.