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Finding the Fourth Proportional to 312.98, 469.52 and 96.56

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Solution

The fourth proportional to 312.98, 469.52 and 96.56 is: 144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.98 : 469.52 = 96.56 : x
  2. Step 2: Convert to fraction form
    312.98/469.52 = 96.56/x
  3. Step 3: Cross multiply
    312.98x = 469.52 × 96.56
  4. Step 4: Simplify right side
    312.98x = 45,336.85
  5. Step 5: Solve for x
    x = 45,336.85/312.98
  6. Step 6: Final answer
    x = 144.86

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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.