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Finding the Fourth Proportional to 224.64, 309.89 and 141.69

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Solution

The fourth proportional to 224.64, 309.89 and 141.69 is: 195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.64 : 309.89 = 141.69 : x
  2. Step 2: Convert to fraction form
    224.64/309.89 = 141.69/x
  3. Step 3: Cross multiply
    224.64x = 309.89 × 141.69
  4. Step 4: Simplify right side
    224.64x = 43,907.61
  5. Step 5: Solve for x
    x = 43,907.61/224.64
  6. Step 6: Final answer
    x = 195.46

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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.