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Finding the Fourth Proportional to 285.26, 425.66 and 236.05

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Solution

The fourth proportional to 285.26, 425.66 and 236.05 is: 352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 425.66 = 236.05 : x
  2. Step 2: Convert to fraction form
    285.26/425.66 = 236.05/x
  3. Step 3: Cross multiply
    285.26x = 425.66 × 236.05
  4. Step 4: Simplify right side
    285.26x = 100,474.80
  5. Step 5: Solve for x
    x = 100,474.80/285.26
  6. Step 6: Final answer
    x = 352.23

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