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Finding the Fourth Proportional to 221.10, 330.89 and 152.16

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Solution

The fourth proportional to 221.10, 330.89 and 152.16 is: 227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.10 : 330.89 = 152.16 : x
  2. Step 2: Convert to fraction form
    221.10/330.89 = 152.16/x
  3. Step 3: Cross multiply
    221.10x = 330.89 × 152.16
  4. Step 4: Simplify right side
    221.10x = 50,347.46
  5. Step 5: Solve for x
    x = 50,347.46/221.10
  6. Step 6: Final answer
    x = 227.71

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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.