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Finding the Fourth Proportional to 310.78, 466.46 and 180.92

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Solution

The fourth proportional to 310.78, 466.46 and 180.92 is: 271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.78 : 466.46 = 180.92 : x
  2. Step 2: Convert to fraction form
    310.78/466.46 = 180.92/x
  3. Step 3: Cross multiply
    310.78x = 466.46 × 180.92
  4. Step 4: Simplify right side
    310.78x = 84,392.20
  5. Step 5: Solve for x
    x = 84,392.20/310.78
  6. Step 6: Final answer
    x = 271.55

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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.