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Finding the Fourth Proportional to 224.25, 309.14 and 141.30

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Solution

The fourth proportional to 224.25, 309.14 and 141.30 is: 194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 309.14 = 141.30 : x
  2. Step 2: Convert to fraction form
    224.25/309.14 = 141.30/x
  3. Step 3: Cross multiply
    224.25x = 309.14 × 141.30
  4. Step 4: Simplify right side
    224.25x = 43,681.48
  5. Step 5: Solve for x
    x = 43,681.48/224.25
  6. Step 6: Final answer
    x = 194.79

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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.