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Finding the Fourth Proportional to 221.80, 305.72 and 175.09

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Solution

The fourth proportional to 221.80, 305.72 and 175.09 is: 241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.80 : 305.72 = 175.09 : x
  2. Step 2: Convert to fraction form
    221.80/305.72 = 175.09/x
  3. Step 3: Cross multiply
    221.80x = 305.72 × 175.09
  4. Step 4: Simplify right side
    221.80x = 53,528.51
  5. Step 5: Solve for x
    x = 53,528.51/221.80
  6. Step 6: Final answer
    x = 241.34

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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.