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Finding the Fourth Proportional to 224.56, 309.78 and 141.64

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Solution

The fourth proportional to 224.56, 309.78 and 141.64 is: 195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 309.78 = 141.64 : x
  2. Step 2: Convert to fraction form
    224.56/309.78 = 141.64/x
  3. Step 3: Cross multiply
    224.56x = 309.78 × 141.64
  4. Step 4: Simplify right side
    224.56x = 43,877.24
  5. Step 5: Solve for x
    x = 43,877.24/224.56
  6. Step 6: Final answer
    x = 195.39

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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.