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Finding the Fourth Proportional to 512.71, 769.19 and 188.08

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Solution

The fourth proportional to 512.71, 769.19 and 188.08 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.71 : 769.19 = 188.08 : x
  2. Step 2: Convert to fraction form
    512.71/769.19 = 188.08/x
  3. Step 3: Cross multiply
    512.71x = 769.19 × 188.08
  4. Step 4: Simplify right side
    512.71x = 144,668.31
  5. Step 5: Solve for x
    x = 144,668.31/512.71
  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.