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Finding the Fourth Proportional to 221.80, 305.80 and 175

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Solution

The fourth proportional to 221.80, 305.80 and 175 is: 241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.80 : 305.80 = 175 : x
  2. Step 2: Convert to fraction form
    221.80/305.80 = 175/x
  3. Step 3: Cross multiply
    221.80x = 305.80 × 175
  4. Step 4: Simplify right side
    221.80x = 53,515
  5. Step 5: Solve for x
    x = 53,515/221.80
  6. Step 6: Final answer
    x = 241.28

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