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Finding the Fourth Proportional to 224.50, 336.76 and 70.48

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Solution

The fourth proportional to 224.50, 336.76 and 70.48 is: 105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.50 : 336.76 = 70.48 : x
  2. Step 2: Convert to fraction form
    224.50/336.76 = 70.48/x
  3. Step 3: Cross multiply
    224.50x = 336.76 × 70.48
  4. Step 4: Simplify right side
    224.50x = 23,734.84
  5. Step 5: Solve for x
    x = 23,734.84/224.50
  6. Step 6: Final answer
    x = 105.72

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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.