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Finding the Fourth Proportional to 523.22, 784.89 and 157.97

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Solution

The fourth proportional to 523.22, 784.89 and 157.97 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.22 : 784.89 = 157.97 : x
  2. Step 2: Convert to fraction form
    523.22/784.89 = 157.97/x
  3. Step 3: Cross multiply
    523.22x = 784.89 × 157.97
  4. Step 4: Simplify right side
    523.22x = 123,985.15
  5. Step 5: Solve for x
    x = 123,985.15/523.22
  6. Step 6: Final answer
    x = 236.97

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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.