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Finding the Fourth Proportional to 224.83, 310.26 and 137.50

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Solution

The fourth proportional to 224.83, 310.26 and 137.50 is: 189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.83 : 310.26 = 137.50 : x
  2. Step 2: Convert to fraction form
    224.83/310.26 = 137.50/x
  3. Step 3: Cross multiply
    224.83x = 310.26 × 137.50
  4. Step 4: Simplify right side
    224.83x = 42,660.75
  5. Step 5: Solve for x
    x = 42,660.75/224.83
  6. Step 6: Final answer
    x = 189.75

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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.