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Finding the Fourth Proportional to 523.12, 784.59 and 157.99

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Solution

The fourth proportional to 523.12, 784.59 and 157.99 is: 236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 784.59 = 157.99 : x
  2. Step 2: Convert to fraction form
    523.12/784.59 = 157.99/x
  3. Step 3: Cross multiply
    523.12x = 784.59 × 157.99
  4. Step 4: Simplify right side
    523.12x = 123,957.37
  5. Step 5: Solve for x
    x = 123,957.37/523.12
  6. Step 6: Final answer
    x = 236.96

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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.