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Finding the Fourth Proportional to 312.10, 467.85 and 129.32

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Solution

The fourth proportional to 312.10, 467.85 and 129.32 is: 193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 467.85 = 129.32 : x
  2. Step 2: Convert to fraction form
    312.10/467.85 = 129.32/x
  3. Step 3: Cross multiply
    312.10x = 467.85 × 129.32
  4. Step 4: Simplify right side
    312.10x = 60,503.21
  5. Step 5: Solve for x
    x = 60,503.21/312.10
  6. Step 6: Final answer
    x = 193.86

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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.