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Finding the Fourth Proportional to 312.43, 468.63 and 96.01

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Solution

The fourth proportional to 312.43, 468.63 and 96.01 is: 144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.43 : 468.63 = 96.01 : x
  2. Step 2: Convert to fraction form
    312.43/468.63 = 96.01/x
  3. Step 3: Cross multiply
    312.43x = 468.63 × 96.01
  4. Step 4: Simplify right side
    312.43x = 44,993.17
  5. Step 5: Solve for x
    x = 44,993.17/312.43
  6. Step 6: Final answer
    x = 144.01

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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.