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Finding the Fourth Proportional to 512.42, 768.56 and 187.70

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Solution

The fourth proportional to 512.42, 768.56 and 187.70 is: 281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 768.56 = 187.70 : x
  2. Step 2: Convert to fraction form
    512.42/768.56 = 187.70/x
  3. Step 3: Cross multiply
    512.42x = 768.56 × 187.70
  4. Step 4: Simplify right side
    512.42x = 144,258.71
  5. Step 5: Solve for x
    x = 144,258.71/512.42
  6. Step 6: Final answer
    x = 281.52

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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.