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Finding the Fourth Proportional to 224.18, 336.02 and 102.38

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Solution

The fourth proportional to 224.18, 336.02 and 102.38 is: 153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.18 : 336.02 = 102.38 : x
  2. Step 2: Convert to fraction form
    224.18/336.02 = 102.38/x
  3. Step 3: Cross multiply
    224.18x = 336.02 × 102.38
  4. Step 4: Simplify right side
    224.18x = 34,401.73
  5. Step 5: Solve for x
    x = 34,401.73/224.18
  6. Step 6: Final answer
    x = 153.46

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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.