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Finding the Fourth Proportional to 312.01, 467.67 and 129.35

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Solution

The fourth proportional to 312.01, 467.67 and 129.35 is: 193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.01 : 467.67 = 129.35 : x
  2. Step 2: Convert to fraction form
    312.01/467.67 = 129.35/x
  3. Step 3: Cross multiply
    312.01x = 467.67 × 129.35
  4. Step 4: Simplify right side
    312.01x = 60,492.47
  5. Step 5: Solve for x
    x = 60,492.47/312.01
  6. Step 6: Final answer
    x = 193.88

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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.