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Finding the Fourth Proportional to 224.94, 310.37 and 137.60

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Solution

The fourth proportional to 224.94, 310.37 and 137.60 is: 189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.94 : 310.37 = 137.60 : x
  2. Step 2: Convert to fraction form
    224.94/310.37 = 137.60/x
  3. Step 3: Cross multiply
    224.94x = 310.37 × 137.60
  4. Step 4: Simplify right side
    224.94x = 42,704.67
  5. Step 5: Solve for x
    x = 42,704.67/224.94
  6. Step 6: Final answer
    x = 189.85

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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.