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Finding the Fourth Proportional to 224.58, 310.07 and 137.41

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Solution

The fourth proportional to 224.58, 310.07 and 137.41 is: 189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.58 : 310.07 = 137.41 : x
  2. Step 2: Convert to fraction form
    224.58/310.07 = 137.41/x
  3. Step 3: Cross multiply
    224.58x = 310.07 × 137.41
  4. Step 4: Simplify right side
    224.58x = 42,606.29
  5. Step 5: Solve for x
    x = 42,606.29/224.58
  6. Step 6: Final answer
    x = 189.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.