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Finding the Fourth Proportional to 253.24, 379.78 and 166.57

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Solution

The fourth proportional to 253.24, 379.78 and 166.57 is: 249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 379.78 = 166.57 : x
  2. Step 2: Convert to fraction form
    253.24/379.78 = 166.57/x
  3. Step 3: Cross multiply
    253.24x = 379.78 × 166.57
  4. Step 4: Simplify right side
    253.24x = 63,259.95
  5. Step 5: Solve for x
    x = 63,259.95/253.24
  6. Step 6: Final answer
    x = 249.80

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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.