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Finding the Fourth Proportional to 224.34, 336.52 and 96.09

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Solution

The fourth proportional to 224.34, 336.52 and 96.09 is: 144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.34 : 336.52 = 96.09 : x
  2. Step 2: Convert to fraction form
    224.34/336.52 = 96.09/x
  3. Step 3: Cross multiply
    224.34x = 336.52 × 96.09
  4. Step 4: Simplify right side
    224.34x = 32,337.23
  5. Step 5: Solve for x
    x = 32,337.23/224.34
  6. Step 6: Final answer
    x = 144.14

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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.