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Finding the Fourth Proportional to 224.16, 334.85 and 183.12

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Solution

The fourth proportional to 224.16, 334.85 and 183.12 is: 273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.16 : 334.85 = 183.12 : x
  2. Step 2: Convert to fraction form
    224.16/334.85 = 183.12/x
  3. Step 3: Cross multiply
    224.16x = 334.85 × 183.12
  4. Step 4: Simplify right side
    224.16x = 61,316.82
  5. Step 5: Solve for x
    x = 61,316.82/224.16
  6. Step 6: Final answer
    x = 273.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.