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Finding the Fourth Proportional to 224.74, 310.08 and 169.35

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Solution

The fourth proportional to 224.74, 310.08 and 169.35 is: 233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.74 : 310.08 = 169.35 : x
  2. Step 2: Convert to fraction form
    224.74/310.08 = 169.35/x
  3. Step 3: Cross multiply
    224.74x = 310.08 × 169.35
  4. Step 4: Simplify right side
    224.74x = 52,512.05
  5. Step 5: Solve for x
    x = 52,512.05/224.74
  6. Step 6: Final answer
    x = 233.66

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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.