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Finding the Fourth Proportional to 220.93, 329.67 and 204.53

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Solution

The fourth proportional to 220.93, 329.67 and 204.53 is: 305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.93 : 329.67 = 204.53 : x
  2. Step 2: Convert to fraction form
    220.93/329.67 = 204.53/x
  3. Step 3: Cross multiply
    220.93x = 329.67 × 204.53
  4. Step 4: Simplify right side
    220.93x = 67,425.76
  5. Step 5: Solve for x
    x = 67,425.76/220.93
  6. Step 6: Final answer
    x = 305.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.