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Finding the Fourth Proportional to 523.88, 785.84 and 139.12

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Solution

The fourth proportional to 523.88, 785.84 and 139.12 is: 208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.88 : 785.84 = 139.12 : x
  2. Step 2: Convert to fraction form
    523.88/785.84 = 139.12/x
  3. Step 3: Cross multiply
    523.88x = 785.84 × 139.12
  4. Step 4: Simplify right side
    523.88x = 109,326.06
  5. Step 5: Solve for x
    x = 109,326.06/523.88
  6. Step 6: Final answer
    x = 208.69

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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.