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Finding the Fourth Proportional to 221.10, 332.66 and 175.94

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Solution

The fourth proportional to 221.10, 332.66 and 175.94 is: 264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.10 : 332.66 = 175.94 : x
  2. Step 2: Convert to fraction form
    221.10/332.66 = 175.94/x
  3. Step 3: Cross multiply
    221.10x = 332.66 × 175.94
  4. Step 4: Simplify right side
    221.10x = 58,528.20
  5. Step 5: Solve for x
    x = 58,528.20/221.10
  6. Step 6: Final answer
    x = 264.71

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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.