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Finding the Fourth Proportional to 285.26, 429.55 and 204.66

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Solution

The fourth proportional to 285.26, 429.55 and 204.66 is: 308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 429.55 = 204.66 : x
  2. Step 2: Convert to fraction form
    285.26/429.55 = 204.66/x
  3. Step 3: Cross multiply
    285.26x = 429.55 × 204.66
  4. Step 4: Simplify right side
    285.26x = 87,912.34
  5. Step 5: Solve for x
    x = 87,912.34/285.26
  6. Step 6: Final answer
    x = 308.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.