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Finding the Fourth Proportional to 225.60, 338.88 and 217.50

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Solution

The fourth proportional to 225.60, 338.88 and 217.50 is: 326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 338.88 = 217.50 : x
  2. Step 2: Convert to fraction form
    225.60/338.88 = 217.50/x
  3. Step 3: Cross multiply
    225.60x = 338.88 × 217.50
  4. Step 4: Simplify right side
    225.60x = 73,706.40
  5. Step 5: Solve for x
    x = 73,706.40/225.60
  6. Step 6: Final answer
    x = 326.71

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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.