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Finding the Fourth Proportional to 220.29, 303.71 and 189.53

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Solution

The fourth proportional to 220.29, 303.71 and 189.53 is: 261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.29 : 303.71 = 189.53 : x
  2. Step 2: Convert to fraction form
    220.29/303.71 = 189.53/x
  3. Step 3: Cross multiply
    220.29x = 303.71 × 189.53
  4. Step 4: Simplify right side
    220.29x = 57,563.07
  5. Step 5: Solve for x
    x = 57,563.07/220.29
  6. Step 6: Final answer
    x = 261.31

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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.