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Finding the Fourth Proportional to 312, 468.06 and 129.30

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Solution

The fourth proportional to 312, 468.06 and 129.30 is: 193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 468.06 = 129.30 : x
  2. Step 2: Convert to fraction form
    312/468.06 = 129.30/x
  3. Step 3: Cross multiply
    312x = 468.06 × 129.30
  4. Step 4: Simplify right side
    312x = 60,517.17
  5. Step 5: Solve for x
    x = 60,517.17/312
  6. Step 6: Final answer
    x = 193.97

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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.