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Finding the Fourth Proportional to 253.99, 350.49 and 166.78

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Solution

The fourth proportional to 253.99, 350.49 and 166.78 is: 230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.99 : 350.49 = 166.78 : x
  2. Step 2: Convert to fraction form
    253.99/350.49 = 166.78/x
  3. Step 3: Cross multiply
    253.99x = 350.49 × 166.78
  4. Step 4: Simplify right side
    253.99x = 58,454.72
  5. Step 5: Solve for x
    x = 58,454.72/253.99
  6. Step 6: Final answer
    x = 230.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.