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Finding the Fourth Proportional to 312.82, 469.30 and 96.40

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Solution

The fourth proportional to 312.82, 469.30 and 96.40 is: 144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 469.30 = 96.40 : x
  2. Step 2: Convert to fraction form
    312.82/469.30 = 96.40/x
  3. Step 3: Cross multiply
    312.82x = 469.30 × 96.40
  4. Step 4: Simplify right side
    312.82x = 45,240.52
  5. Step 5: Solve for x
    x = 45,240.52/312.82
  6. Step 6: Final answer
    x = 144.62

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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.