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Finding the Fourth Proportional to 224.12, 309.26 and 130.83

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Solution

The fourth proportional to 224.12, 309.26 and 130.83 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 309.26 = 130.83 : x
  2. Step 2: Convert to fraction form
    224.12/309.26 = 130.83/x
  3. Step 3: Cross multiply
    224.12x = 309.26 × 130.83
  4. Step 4: Simplify right side
    224.12x = 40,460.49
  5. Step 5: Solve for x
    x = 40,460.49/224.12
  6. Step 6: Final answer
    x = 180.53

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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.