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Finding the Fourth Proportional to 224.13, 336.20 and 102.36

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Solution

The fourth proportional to 224.13, 336.20 and 102.36 is: 153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.13 : 336.20 = 102.36 : x
  2. Step 2: Convert to fraction form
    224.13/336.20 = 102.36/x
  3. Step 3: Cross multiply
    224.13x = 336.20 × 102.36
  4. Step 4: Simplify right side
    224.13x = 34,412.92
  5. Step 5: Solve for x
    x = 34,412.92/224.13
  6. Step 6: Final answer
    x = 153.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.