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Finding the Fourth Proportional to 227.05, 312.94 and 152.22

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Solution

The fourth proportional to 227.05, 312.94 and 152.22 is: 209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.05 : 312.94 = 152.22 : x
  2. Step 2: Convert to fraction form
    227.05/312.94 = 152.22/x
  3. Step 3: Cross multiply
    227.05x = 312.94 × 152.22
  4. Step 4: Simplify right side
    227.05x = 47,635.35
  5. Step 5: Solve for x
    x = 47,635.35/227.05
  6. Step 6: Final answer
    x = 209.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.