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Finding the Fourth Proportional to 224.74, 336.95 and 116.61

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Solution

The fourth proportional to 224.74, 336.95 and 116.61 is: 174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.74 : 336.95 = 116.61 : x
  2. Step 2: Convert to fraction form
    224.74/336.95 = 116.61/x
  3. Step 3: Cross multiply
    224.74x = 336.95 × 116.61
  4. Step 4: Simplify right side
    224.74x = 39,291.74
  5. Step 5: Solve for x
    x = 39,291.74/224.74
  6. Step 6: Final answer
    x = 174.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.