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Finding the Fourth Proportional to 224.63, 309.97 and 130.12

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Solution

The fourth proportional to 224.63, 309.97 and 130.12 is: 179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.63 : 309.97 = 130.12 : x
  2. Step 2: Convert to fraction form
    224.63/309.97 = 130.12/x
  3. Step 3: Cross multiply
    224.63x = 309.97 × 130.12
  4. Step 4: Simplify right side
    224.63x = 40,333.30
  5. Step 5: Solve for x
    x = 40,333.30/224.63
  6. Step 6: Final answer
    x = 179.55

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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.