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Finding the Fourth Proportional to 224.79, 310.38 and 154.94

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Solution

The fourth proportional to 224.79, 310.38 and 154.94 is: 213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.79 : 310.38 = 154.94 : x
  2. Step 2: Convert to fraction form
    224.79/310.38 = 154.94/x
  3. Step 3: Cross multiply
    224.79x = 310.38 × 154.94
  4. Step 4: Simplify right side
    224.79x = 48,088.73
  5. Step 5: Solve for x
    x = 48,088.73/224.79
  6. Step 6: Final answer
    x = 213.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.