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Finding the Fourth Proportional to 224.09, 336.23 and 143.09

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Solution

The fourth proportional to 224.09, 336.23 and 143.09 is: 214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.09 : 336.23 = 143.09 : x
  2. Step 2: Convert to fraction form
    224.09/336.23 = 143.09/x
  3. Step 3: Cross multiply
    224.09x = 336.23 × 143.09
  4. Step 4: Simplify right side
    224.09x = 48,111.15
  5. Step 5: Solve for x
    x = 48,111.15/224.09
  6. Step 6: Final answer
    x = 214.70

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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.