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Finding the Fourth Proportional to 224.76, 310.50 and 169.50

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Solution

The fourth proportional to 224.76, 310.50 and 169.50 is: 234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.76 : 310.50 = 169.50 : x
  2. Step 2: Convert to fraction form
    224.76/310.50 = 169.50/x
  3. Step 3: Cross multiply
    224.76x = 310.50 × 169.50
  4. Step 4: Simplify right side
    224.76x = 52,629.75
  5. Step 5: Solve for x
    x = 52,629.75/224.76
  6. Step 6: Final answer
    x = 234.16

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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.