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Finding the Fourth Proportional to 312.36, 468.54 and 129.76

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Solution

The fourth proportional to 312.36, 468.54 and 129.76 is: 194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 468.54 = 129.76 : x
  2. Step 2: Convert to fraction form
    312.36/468.54 = 129.76/x
  3. Step 3: Cross multiply
    312.36x = 468.54 × 129.76
  4. Step 4: Simplify right side
    312.36x = 60,797.75
  5. Step 5: Solve for x
    x = 60,797.75/312.36
  6. Step 6: Final answer
    x = 194.64

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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.