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Finding the Fourth Proportional to 523.75, 785.63 and 139

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Solution

The fourth proportional to 523.75, 785.63 and 139 is: 208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.75 : 785.63 = 139 : x
  2. Step 2: Convert to fraction form
    523.75/785.63 = 139/x
  3. Step 3: Cross multiply
    523.75x = 785.63 × 139
  4. Step 4: Simplify right side
    523.75x = 109,202.57
  5. Step 5: Solve for x
    x = 109,202.57/523.75
  6. Step 6: Final answer
    x = 208.50

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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.