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Finding the Fourth Proportional to 286.92, 430.36 and 94.55

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Solution

The fourth proportional to 286.92, 430.36 and 94.55 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 430.36 = 94.55 : x
  2. Step 2: Convert to fraction form
    286.92/430.36 = 94.55/x
  3. Step 3: Cross multiply
    286.92x = 430.36 × 94.55
  4. Step 4: Simplify right side
    286.92x = 40,690.54
  5. Step 5: Solve for x
    x = 40,690.54/286.92
  6. Step 6: Final answer
    x = 141.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.