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Finding the Fourth Proportional to 523.11, 784.43 and 157.83

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Solution

The fourth proportional to 523.11, 784.43 and 157.83 is: 236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.11 : 784.43 = 157.83 : x
  2. Step 2: Convert to fraction form
    523.11/784.43 = 157.83/x
  3. Step 3: Cross multiply
    523.11x = 784.43 × 157.83
  4. Step 4: Simplify right side
    523.11x = 123,806.59
  5. Step 5: Solve for x
    x = 123,806.59/523.11
  6. Step 6: Final answer
    x = 236.67

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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.