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Finding the Fourth Proportional to 312.57, 468.92 and 96.16

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Solution

The fourth proportional to 312.57, 468.92 and 96.16 is: 144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.57 : 468.92 = 96.16 : x
  2. Step 2: Convert to fraction form
    312.57/468.92 = 96.16/x
  3. Step 3: Cross multiply
    312.57x = 468.92 × 96.16
  4. Step 4: Simplify right side
    312.57x = 45,090.87
  5. Step 5: Solve for x
    x = 45,090.87/312.57
  6. Step 6: Final answer
    x = 144.26

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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.