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Finding the Fourth Proportional to 312.31, 467.96 and 106.77

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Solution

The fourth proportional to 312.31, 467.96 and 106.77 is: 159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 467.96 = 106.77 : x
  2. Step 2: Convert to fraction form
    312.31/467.96 = 106.77/x
  3. Step 3: Cross multiply
    312.31x = 467.96 × 106.77
  4. Step 4: Simplify right side
    312.31x = 49,963.00
  5. Step 5: Solve for x
    x = 49,963.00/312.31
  6. Step 6: Final answer
    x = 159.98

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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.