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Finding the Fourth Proportional to 224.02, 309.06 and 130.78

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Solution

The fourth proportional to 224.02, 309.06 and 130.78 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 309.06 = 130.78 : x
  2. Step 2: Convert to fraction form
    224.02/309.06 = 130.78/x
  3. Step 3: Cross multiply
    224.02x = 309.06 × 130.78
  4. Step 4: Simplify right side
    224.02x = 40,418.87
  5. Step 5: Solve for x
    x = 40,418.87/224.02
  6. Step 6: Final answer
    x = 180.43

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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.