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Finding the Fourth Proportional to 512.51, 769.10 and 187.85

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Solution

The fourth proportional to 512.51, 769.10 and 187.85 is: 281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.51 : 769.10 = 187.85 : x
  2. Step 2: Convert to fraction form
    512.51/769.10 = 187.85/x
  3. Step 3: Cross multiply
    512.51x = 769.10 × 187.85
  4. Step 4: Simplify right side
    512.51x = 144,474.50
  5. Step 5: Solve for x
    x = 144,474.50/512.51
  6. Step 6: Final answer
    x = 281.90

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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.