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Finding the Fourth Proportional to 224.68, 336.88 and 70.56

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Solution

The fourth proportional to 224.68, 336.88 and 70.56 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.68 : 336.88 = 70.56 : x
  2. Step 2: Convert to fraction form
    224.68/336.88 = 70.56/x
  3. Step 3: Cross multiply
    224.68x = 336.88 × 70.56
  4. Step 4: Simplify right side
    224.68x = 23,770.25
  5. Step 5: Solve for x
    x = 23,770.25/224.68
  6. Step 6: Final answer
    x = 105.80

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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.