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Finding the Fourth Proportional to 224.09, 336.20 and 102.25

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Solution

The fourth proportional to 224.09, 336.20 and 102.25 is: 153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.09 : 336.20 = 102.25 : x
  2. Step 2: Convert to fraction form
    224.09/336.20 = 102.25/x
  3. Step 3: Cross multiply
    224.09x = 336.20 × 102.25
  4. Step 4: Simplify right side
    224.09x = 34,376.45
  5. Step 5: Solve for x
    x = 34,376.45/224.09
  6. Step 6: Final answer
    x = 153.40

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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.