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Finding the Fourth Proportional to 224.37, 334.94 and 178.25

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Solution

The fourth proportional to 224.37, 334.94 and 178.25 is: 266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.37 : 334.94 = 178.25 : x
  2. Step 2: Convert to fraction form
    224.37/334.94 = 178.25/x
  3. Step 3: Cross multiply
    224.37x = 334.94 × 178.25
  4. Step 4: Simplify right side
    224.37x = 59,702.37
  5. Step 5: Solve for x
    x = 59,702.37/224.37
  6. Step 6: Final answer
    x = 266.09

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Why These Related Problems?

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