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Finding the Fourth Proportional to 224.04, 336.13 and 102.27

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Solution

The fourth proportional to 224.04, 336.13 and 102.27 is: 153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.04 : 336.13 = 102.27 : x
  2. Step 2: Convert to fraction form
    224.04/336.13 = 102.27/x
  3. Step 3: Cross multiply
    224.04x = 336.13 × 102.27
  4. Step 4: Simplify right side
    224.04x = 34,375.76
  5. Step 5: Solve for x
    x = 34,375.76/224.04
  6. Step 6: Final answer
    x = 153.44

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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.