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Finding the Fourth Proportional to 312.47, 468.69 and 96.05

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Solution

The fourth proportional to 312.47, 468.69 and 96.05 is: 144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.47 : 468.69 = 96.05 : x
  2. Step 2: Convert to fraction form
    312.47/468.69 = 96.05/x
  3. Step 3: Cross multiply
    312.47x = 468.69 × 96.05
  4. Step 4: Simplify right side
    312.47x = 45,015.33
  5. Step 5: Solve for x
    x = 45,015.33/312.47
  6. Step 6: Final answer
    x = 144.07

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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.