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Finding the Fourth Proportional to 252.02, 376.92 and 154.24

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Solution

The fourth proportional to 252.02, 376.92 and 154.24 is: 230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.02 : 376.92 = 154.24 : x
  2. Step 2: Convert to fraction form
    252.02/376.92 = 154.24/x
  3. Step 3: Cross multiply
    252.02x = 376.92 × 154.24
  4. Step 4: Simplify right side
    252.02x = 58,136.14
  5. Step 5: Solve for x
    x = 58,136.14/252.02
  6. Step 6: Final answer
    x = 230.68

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Why These Related Problems?

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