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Finding the Fourth Proportional to 285.24, 393.63 and 154.25

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Solution

The fourth proportional to 285.24, 393.63 and 154.25 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.24 : 393.63 = 154.25 : x
  2. Step 2: Convert to fraction form
    285.24/393.63 = 154.25/x
  3. Step 3: Cross multiply
    285.24x = 393.63 × 154.25
  4. Step 4: Simplify right side
    285.24x = 60,716.89
  5. Step 5: Solve for x
    x = 60,716.89/285.24
  6. Step 6: Final answer
    x = 212.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.