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Finding the Fourth Proportional to 523.26, 784.90 and 138.50

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Solution

The fourth proportional to 523.26, 784.90 and 138.50 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 784.90 = 138.50 : x
  2. Step 2: Convert to fraction form
    523.26/784.90 = 138.50/x
  3. Step 3: Cross multiply
    523.26x = 784.90 × 138.50
  4. Step 4: Simplify right side
    523.26x = 108,708.65
  5. Step 5: Solve for x
    x = 108,708.65/523.26
  6. Step 6: Final answer
    x = 207.75

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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.