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Finding the Fourth Proportional to 224.96, 310.45 and 137.64

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Solution

The fourth proportional to 224.96, 310.45 and 137.64 is: 189.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 310.45 = 137.64 : x
  2. Step 2: Convert to fraction form
    224.96/310.45 = 137.64/x
  3. Step 3: Cross multiply
    224.96x = 310.45 × 137.64
  4. Step 4: Simplify right side
    224.96x = 42,729.96
  5. Step 5: Solve for x
    x = 42,729.96/224.96
  6. Step 6: Final answer
    x = 189.94

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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.