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Finding the Fourth Proportional to 253.88, 380.38 and 181.40

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Solution

The fourth proportional to 253.88, 380.38 and 181.40 is: 271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.88 : 380.38 = 181.40 : x
  2. Step 2: Convert to fraction form
    253.88/380.38 = 181.40/x
  3. Step 3: Cross multiply
    253.88x = 380.38 × 181.40
  4. Step 4: Simplify right side
    253.88x = 69,000.93
  5. Step 5: Solve for x
    x = 69,000.93/253.88
  6. Step 6: Final answer
    x = 271.79

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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.