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Finding the Fourth Proportional to 312.25, 468.36 and 95.83

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Solution

The fourth proportional to 312.25, 468.36 and 95.83 is: 143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 468.36 = 95.83 : x
  2. Step 2: Convert to fraction form
    312.25/468.36 = 95.83/x
  3. Step 3: Cross multiply
    312.25x = 468.36 × 95.83
  4. Step 4: Simplify right side
    312.25x = 44,882.94
  5. Step 5: Solve for x
    x = 44,882.94/312.25
  6. Step 6: Final answer
    x = 143.74

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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.