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Finding the Fourth Proportional to 312.10, 468 and 95.68

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Solution

The fourth proportional to 312.10, 468 and 95.68 is: 143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 468 = 95.68 : x
  2. Step 2: Convert to fraction form
    312.10/468 = 95.68/x
  3. Step 3: Cross multiply
    312.10x = 468 × 95.68
  4. Step 4: Simplify right side
    312.10x = 44,778.24
  5. Step 5: Solve for x
    x = 44,778.24/312.10
  6. Step 6: Final answer
    x = 143.47

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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.