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Finding the Fourth Proportional to 224.21, 336.20 and 83.45

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Solution

The fourth proportional to 224.21, 336.20 and 83.45 is: 125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.21 : 336.20 = 83.45 : x
  2. Step 2: Convert to fraction form
    224.21/336.20 = 83.45/x
  3. Step 3: Cross multiply
    224.21x = 336.20 × 83.45
  4. Step 4: Simplify right side
    224.21x = 28,055.89
  5. Step 5: Solve for x
    x = 28,055.89/224.21
  6. Step 6: Final answer
    x = 125.13

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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.