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Finding the Fourth Proportional to 224.02, 335.67 and 170.02

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Solution

The fourth proportional to 224.02, 335.67 and 170.02 is: 254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 335.67 = 170.02 : x
  2. Step 2: Convert to fraction form
    224.02/335.67 = 170.02/x
  3. Step 3: Cross multiply
    224.02x = 335.67 × 170.02
  4. Step 4: Simplify right side
    224.02x = 57,070.61
  5. Step 5: Solve for x
    x = 57,070.61/224.02
  6. Step 6: Final answer
    x = 254.76

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Why These Related Problems?

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