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Finding the Fourth Proportional to 224.93, 310.64 and 193.92

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Solution

The fourth proportional to 224.93, 310.64 and 193.92 is: 267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.93 : 310.64 = 193.92 : x
  2. Step 2: Convert to fraction form
    224.93/310.64 = 193.92/x
  3. Step 3: Cross multiply
    224.93x = 310.64 × 193.92
  4. Step 4: Simplify right side
    224.93x = 60,239.31
  5. Step 5: Solve for x
    x = 60,239.31/224.93
  6. Step 6: Final answer
    x = 267.81

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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.