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Finding the Fourth Proportional to 224.34, 309.68 and 159

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Solution

The fourth proportional to 224.34, 309.68 and 159 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.34 : 309.68 = 159 : x
  2. Step 2: Convert to fraction form
    224.34/309.68 = 159/x
  3. Step 3: Cross multiply
    224.34x = 309.68 × 159
  4. Step 4: Simplify right side
    224.34x = 49,239.12
  5. Step 5: Solve for x
    x = 49,239.12/224.34
  6. Step 6: Final answer
    x = 219.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.