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Finding the Fourth Proportional to 253.87, 380.66 and 167.20

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Solution

The fourth proportional to 253.87, 380.66 and 167.20 is: 250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.87 : 380.66 = 167.20 : x
  2. Step 2: Convert to fraction form
    253.87/380.66 = 167.20/x
  3. Step 3: Cross multiply
    253.87x = 380.66 × 167.20
  4. Step 4: Simplify right side
    253.87x = 63,644.56
  5. Step 5: Solve for x
    x = 63,644.56/253.87
  6. Step 6: Final answer
    x = 250.70

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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.