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Finding the Fourth Proportional to 312.84, 468.96 and 107.30

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Solution

The fourth proportional to 312.84, 468.96 and 107.30 is: 160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 468.96 = 107.30 : x
  2. Step 2: Convert to fraction form
    312.84/468.96 = 107.30/x
  3. Step 3: Cross multiply
    312.84x = 468.96 × 107.30
  4. Step 4: Simplify right side
    312.84x = 50,319.41
  5. Step 5: Solve for x
    x = 50,319.41/312.84
  6. Step 6: Final answer
    x = 160.85

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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.