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Finding the Fourth Proportional to 221.72, 332.28 and 173.64

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Solution

The fourth proportional to 221.72, 332.28 and 173.64 is: 260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.72 : 332.28 = 173.64 : x
  2. Step 2: Convert to fraction form
    221.72/332.28 = 173.64/x
  3. Step 3: Cross multiply
    221.72x = 332.28 × 173.64
  4. Step 4: Simplify right side
    221.72x = 57,697.10
  5. Step 5: Solve for x
    x = 57,697.10/221.72
  6. Step 6: Final answer
    x = 260.23

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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.