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Finding the Fourth Proportional to 224.14, 309.31 and 130.89

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Solution

The fourth proportional to 224.14, 309.31 and 130.89 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.14 : 309.31 = 130.89 : x
  2. Step 2: Convert to fraction form
    224.14/309.31 = 130.89/x
  3. Step 3: Cross multiply
    224.14x = 309.31 × 130.89
  4. Step 4: Simplify right side
    224.14x = 40,486.08
  5. Step 5: Solve for x
    x = 40,486.08/224.14
  6. Step 6: Final answer
    x = 180.63

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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.