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Finding the Fourth Proportional to 224.95, 337.29 and 70.84

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Solution

The fourth proportional to 224.95, 337.29 and 70.84 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.95 : 337.29 = 70.84 : x
  2. Step 2: Convert to fraction form
    224.95/337.29 = 70.84/x
  3. Step 3: Cross multiply
    224.95x = 337.29 × 70.84
  4. Step 4: Simplify right side
    224.95x = 23,893.62
  5. Step 5: Solve for x
    x = 23,893.62/224.95
  6. Step 6: Final answer
    x = 106.22

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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.