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Finding the Fourth Proportional to 312.86, 469.38 and 96.44

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Solution

The fourth proportional to 312.86, 469.38 and 96.44 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.86 : 469.38 = 96.44 : x
  2. Step 2: Convert to fraction form
    312.86/469.38 = 96.44/x
  3. Step 3: Cross multiply
    312.86x = 469.38 × 96.44
  4. Step 4: Simplify right side
    312.86x = 45,267.01
  5. Step 5: Solve for x
    x = 45,267.01/312.86
  6. Step 6: Final answer
    x = 144.69

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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.