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Finding the Fourth Proportional to 286.52, 428.78 and 176.78

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Solution

The fourth proportional to 286.52, 428.78 and 176.78 is: 264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.52 : 428.78 = 176.78 : x
  2. Step 2: Convert to fraction form
    286.52/428.78 = 176.78/x
  3. Step 3: Cross multiply
    286.52x = 428.78 × 176.78
  4. Step 4: Simplify right side
    286.52x = 75,799.73
  5. Step 5: Solve for x
    x = 75,799.73/286.52
  6. Step 6: Final answer
    x = 264.55

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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.