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Finding the Fourth Proportional to 224.29, 336.42 and 96.04

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Solution

The fourth proportional to 224.29, 336.42 and 96.04 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.29 : 336.42 = 96.04 : x
  2. Step 2: Convert to fraction form
    224.29/336.42 = 96.04/x
  3. Step 3: Cross multiply
    224.29x = 336.42 × 96.04
  4. Step 4: Simplify right side
    224.29x = 32,308.09
  5. Step 5: Solve for x
    x = 32,308.09/224.29
  6. Step 6: Final answer
    x = 144.05

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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.