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Finding the Fourth Proportional to 523.23, 784.76 and 157.95

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Solution

The fourth proportional to 523.23, 784.76 and 157.95 is: 236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.23 : 784.76 = 157.95 : x
  2. Step 2: Convert to fraction form
    523.23/784.76 = 157.95/x
  3. Step 3: Cross multiply
    523.23x = 784.76 × 157.95
  4. Step 4: Simplify right side
    523.23x = 123,952.05
  5. Step 5: Solve for x
    x = 123,952.05/523.23
  6. Step 6: Final answer
    x = 236.90

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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.