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Finding the Fourth Proportional to 224.34, 309.31 and 212.79

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Solution

The fourth proportional to 224.34, 309.31 and 212.79 is: 293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.34 : 309.31 = 212.79 : x
  2. Step 2: Convert to fraction form
    224.34/309.31 = 212.79/x
  3. Step 3: Cross multiply
    224.34x = 309.31 × 212.79
  4. Step 4: Simplify right side
    224.34x = 65,818.07
  5. Step 5: Solve for x
    x = 65,818.07/224.34
  6. Step 6: Final answer
    x = 293.39

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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.