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Finding the Fourth Proportional to 224.14, 336.17 and 102.38

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Solution

The fourth proportional to 224.14, 336.17 and 102.38 is: 153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.14 : 336.17 = 102.38 : x
  2. Step 2: Convert to fraction form
    224.14/336.17 = 102.38/x
  3. Step 3: Cross multiply
    224.14x = 336.17 × 102.38
  4. Step 4: Simplify right side
    224.14x = 34,416.21
  5. Step 5: Solve for x
    x = 34,416.21/224.14
  6. Step 6: Final answer
    x = 153.55

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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.