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Finding the Fourth Proportional to 523.69, 785.55 and 138.94

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Solution

The fourth proportional to 523.69, 785.55 and 138.94 is: 208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 785.55 = 138.94 : x
  2. Step 2: Convert to fraction form
    523.69/785.55 = 138.94/x
  3. Step 3: Cross multiply
    523.69x = 785.55 × 138.94
  4. Step 4: Simplify right side
    523.69x = 109,142.35
  5. Step 5: Solve for x
    x = 109,142.35/523.69
  6. Step 6: Final answer
    x = 208.41

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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.