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Finding the Fourth Proportional to 312.40, 468.56 and 106.96

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Solution

The fourth proportional to 312.40, 468.56 and 106.96 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.40 : 468.56 = 106.96 : x
  2. Step 2: Convert to fraction form
    312.40/468.56 = 106.96/x
  3. Step 3: Cross multiply
    312.40x = 468.56 × 106.96
  4. Step 4: Simplify right side
    312.40x = 50,117.18
  5. Step 5: Solve for x
    x = 50,117.18/312.40
  6. Step 6: Final answer
    x = 160.43

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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.