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Finding the Fourth Proportional to 253.96, 380.46 and 154.90

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Solution

The fourth proportional to 253.96, 380.46 and 154.90 is: 232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.96 : 380.46 = 154.90 : x
  2. Step 2: Convert to fraction form
    253.96/380.46 = 154.90/x
  3. Step 3: Cross multiply
    253.96x = 380.46 × 154.90
  4. Step 4: Simplify right side
    253.96x = 58,933.25
  5. Step 5: Solve for x
    x = 58,933.25/253.96
  6. Step 6: Final answer
    x = 232.06

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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.