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Finding the Fourth Proportional to 224.41, 309.56 and 207.23

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Solution

The fourth proportional to 224.41, 309.56 and 207.23 is: 285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.41 : 309.56 = 207.23 : x
  2. Step 2: Convert to fraction form
    224.41/309.56 = 207.23/x
  3. Step 3: Cross multiply
    224.41x = 309.56 × 207.23
  4. Step 4: Simplify right side
    224.41x = 64,150.12
  5. Step 5: Solve for x
    x = 64,150.12/224.41
  6. Step 6: Final answer
    x = 285.86

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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.