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Finding the Fourth Proportional to 253.16, 379.66 and 166.49

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Solution

The fourth proportional to 253.16, 379.66 and 166.49 is: 249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.16 : 379.66 = 166.49 : x
  2. Step 2: Convert to fraction form
    253.16/379.66 = 166.49/x
  3. Step 3: Cross multiply
    253.16x = 379.66 × 166.49
  4. Step 4: Simplify right side
    253.16x = 63,209.59
  5. Step 5: Solve for x
    x = 63,209.59/253.16
  6. Step 6: Final answer
    x = 249.68

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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.