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Finding the Fourth Proportional to 224.19, 336.33 and 102.54

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Solution

The fourth proportional to 224.19, 336.33 and 102.54 is: 153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.19 : 336.33 = 102.54 : x
  2. Step 2: Convert to fraction form
    224.19/336.33 = 102.54/x
  3. Step 3: Cross multiply
    224.19x = 336.33 × 102.54
  4. Step 4: Simplify right side
    224.19x = 34,487.28
  5. Step 5: Solve for x
    x = 34,487.28/224.19
  6. Step 6: Final answer
    x = 153.83

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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.