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Finding the Fourth Proportional to 523.38, 785.08 and 138.64

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Solution

The fourth proportional to 523.38, 785.08 and 138.64 is: 207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.38 : 785.08 = 138.64 : x
  2. Step 2: Convert to fraction form
    523.38/785.08 = 138.64/x
  3. Step 3: Cross multiply
    523.38x = 785.08 × 138.64
  4. Step 4: Simplify right side
    523.38x = 108,843.49
  5. Step 5: Solve for x
    x = 108,843.49/523.38
  6. Step 6: Final answer
    x = 207.96

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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.