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Finding the Fourth Proportional to 512.97, 769.25 and 188.16

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Solution

The fourth proportional to 512.97, 769.25 and 188.16 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.97 : 769.25 = 188.16 : x
  2. Step 2: Convert to fraction form
    512.97/769.25 = 188.16/x
  3. Step 3: Cross multiply
    512.97x = 769.25 × 188.16
  4. Step 4: Simplify right side
    512.97x = 144,741.14
  5. Step 5: Solve for x
    x = 144,741.14/512.97
  6. Step 6: Final answer
    x = 282.16

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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.